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- Non-Associative Normed Algebras , pp. 671 - 696Publisher: Cambridge University PressPrint publication year: 2014
References
[1] , , and , Weakly open sets in the unit ball of the projective tensor product of Banach spaces. J. Math. Anal. Appl. 383 (2011), 461-73. 310, 313Google Scholar
[2] , On the structure and applications of the Steenrod algebra. Comment. Math. Helv. 32 (1958), 180-214. 221Google Scholar
[3] and , Complications of semicontinuity in C*-algebra theory. Duke Math. J. 40 (1973), 785-95. 127Google Scholar
[4] and , Facial structure in operator algebra theory. Proc. London Math. Soc. 64 (1992), 418-48. 532Google Scholar
[5] and , Geometric characterizations of some classes of operators in C*-algebras and von Neumann algebras. Proc. Amer. Math. Soc. 130 (2002), 3033-7. 115, 531, 532Google Scholar
[6] , On a certain algebra of quantum mechanics. Ann. of Math. 35 (1934), 65-73. Reprinted in [692], pp. 85-93. 337Google Scholar
[7] , Quadratic forms permitting composition. Ann. of Math. 43 (1942), 161-77. Reprinted in [692], pp. 219-35. 199Google Scholar
[8] , The radical of a non-associative algebra. Bull. Amer. Math. Soc. 48 (1942), 891-7. Reprinted in [692], pp. 277-83. 599, 600Google Scholar
[9] , Absolute valued real algebras. Ann. of Math. 48 (1947), 495-501. Reprinted in [691], pp. 643-9. 36, 217, 220Google Scholar
[10] , A structure theory for Jordan algebras. Ann. of Math. 48 (1947), 546-67. Reprinted in [692], pp. 401-22. 172Google Scholar
[11] , On the power-associativity of rings. Summa Brasil. Math. 2 (1948), 21-32. Reprinted in [692], pp. 423-35. 654Google Scholar
[12] , Power-associative rings. Trans. Amer. Math. Soc. 608 (1948), 552-93. Reprinted in [692], pp. 437-78. 172, 200Google Scholar
[13] , Absolute valued algebraic algebras. Bull. Amer. Math. Soc. 55 (1949), 763-8. Reprinted in [691], pp. 651-6. 218Google Scholar
[15] , , and , A Gelfand—Neumark theorem for Jordan algebras. Adv. Math. 28 (1978), 11-56. xiv, 336Google Scholar
[16] , Some simple proofs in holomorphic spectral theory. In Perspectives in operator theory, pp. 9-15, Banach Center Publ. 75, Polish Acad. Sci. Inst. Math., Warsaw, 2007. 592
[17] , The multiplicative triangle inequality in noncommutative JB-and JB*-algebras. Abh. Math. Sem. Univ. Hamburg 55 (1985), 91-6. 495Google Scholar
[18] , Real normed Jordan Banach algebras with an involution. Arch. Math. (Basel) 47 (1986), 135-50. 498, 533Google Scholar
[19] and , Real and complex non-commutative Jordan Banach algebras. Math. Z. 185 (1984), 105-13. xx, 356, 422, 498, 533, 535, 536, 565, 635Google Scholar
[20] , Structure theorems for a special class of Banach algebras. Trans. Amer. Math. Soc. 57 (1945), 364-886. 222Google Scholar
[22] , , , and , A non-smooth extension of Freíchet differentiability of the norm with applications to numerical ranges. Glasgow Math. J. 28 (1986), 121-37. xix, 310, 311Google Scholar
[23] and , Sobre el espectro de derivaciones y automorfismos de las álgebras de Banach. Rev. R. Acad. Cienc. Exactas Fis. Nat. (Esp.) 79 (1985), 11318. 390Google Scholar
[24] and , On the definition of C*-algebras. Publ. Res. Inst. Math. Sci. 9 (1973/74), 93-112. 494Google Scholar
[25] , Isometries of Banach algebras satisfying the von Neumann inequality. Math. Scand. 74 (1994), 137-51. 131, 174Google Scholar
[26] and , Isometries of nonselfadjoint operator algebras. J. Funct. Anal. 90 (1990), 284-305. 130Google Scholar
[27] , , and , A generalization of dissipativity and positive semigroups. J. Operator Theory 8 (1982), 167-80. 117, 338Google Scholar
[29] , The adjoint of a bilinear operation. Proc. Amer. Math. Soc. 2 (1951), 839-48. 130, 159Google Scholar
[30] and , Topological representation of algebras. Trans. Amer. Math. Soc. 63 (1948), 457-81. 533Google Scholar
[31] and , Interpolating hereditarily indecomposable Banach spaces. J. Amer. Math. Soc. 13 (2000), 243-94. 249Google Scholar
[32] and , A hereditarily indecomposable L∞-space that solves the scalar-plus-compactproblem. Acta Math. 206 (2011), 1-54. 248Google Scholar
[33] , , and , A class of Banach spaces with few non-strictly singular operators. J. Funct. Anal. 222 (2005), 306-84. 248Google Scholar
[34] and , A geometric function determined by extreme points of the unit ball of a normed space. Pacific J. Math. 127 (1987), 209-31. 533Google Scholar
[35] , Locally convex inductive limits of normed algebras. Rend. Sem. Mat. Univ. Padova 51 (1974), 333-59. 448Google Scholar
[36] , Sur les groupes linéaires I, II, III. Studia Math. 4 (1934), 113-27; Ibid.4 (1934), 158-66; Ibid.5 (1935), 43-9. 217, 279Google Scholar
[37] , Symmetric almost commutative Banach algebras. Notices Amer. Math. Soc. 18 (1971), 559-60. 635Google Scholar
[38] , Caractérisation spectrale des algèbres de Banach commutatives. Pacific J. Math. 63 (1976), 23-35. 635Google Scholar
[39] , Caractérisation spectrale des algèbres de Banach de dimension finie. J. Funct. Anal. 26 (1977), 232-50. 275Google Scholar
[40] , The uniqueness of the complete norm topology in Banach algebras and Banach Jordan algebras. J. Funct. Anal. 47 (1982), 1-6. xx, 565, 592Google Scholar
[41] , Recent trends in the field of Jordan—Banach algebras. In Functional analysis and operator theory (Warsaw, 1992), pp. 9-19, Banach Center Publ. 30, Polish Acad. Sci. Inst. Math., Warsaw, 1994. 634
[42] , Analytic multifunctions and theirapplications. In Complexpotential theory (ed. ), pp. 1-74, Kluwer Academic Publishers, Dordrecht-Boston- London, 1994. 634
[43] , Spectral characterization of the socle in Jordan-Banach algebras. Math. Proc. Camb. Phil. Soc. 117 (1995), 479-89. xxiGoogle Scholar
[44] , Trace and spectrum preserving linear mappings in Jordan-Banach algebras. Monatsh. Math. 125 (1998), 179-87. xxiGoogle Scholar
[45] and , Sur le socle dans les algèbres de Jordan-Banach. Canad. J. Math. 41 (1989), 1090-100. xxiGoogle Scholar
[46] and , Trace and determinant in Jordan-Banach algebras. Publ. Mat. 46 (2002), 3-16. xxiGoogle Scholar
[47] and , The continuity of Lie homomorphisms. Studia Math. 138 (2000), 193-99. xiii, xxi, 597, 598Google Scholar
[48] and , On symmetry of Banach Jordan algebras. Proc. Amer Math. Soc. 91 (1984), 364-6. xx, 388, 605, 634Google Scholar
[49] and , A Banach space in which every injective operator is surjective. Bull. London Math. Soc. 45 (2013), 1065-74. 93, 249Google Scholar
[51] , The octonions. Bull. Amer. Math. Soc. 39 (2002), 145-205. Errata. Ibid.42 (2005), 213. 198, 199, 217, 221Google Scholar
[52] , Analyse spectrale des opérateurs hermitiens d'une espace de Banach. J. London Math. Soc. 19 (1979), 497-508. 669Google Scholar
[54] and , Uniqueness of the norm topology in certain Banach Jordan algebras. Publ. Ramanujan Inst. 1 (1969), 283-9. 391, 493, 593Google Scholar
[56] , , and , Unitaries in Banach spaces. Illinois J. Math. 48 (2004), 339-51. xix, 115, 118, 310, 313Google Scholar
[57] , Locally B*-equivalent algebras. Trans. Amer. Math. Soc. 167 (1972), 435-42. 605, 632Google Scholar
[58] , Locally B*-equivalent algebras II. Trans. Amer. Math. Soc. 176 (1973), 297-303. 632Google Scholar
[59] , A note on invariance of spectrum for symmetric Banach *-algebras. Proc. Amer. Math. Soc. 126 (1998), 3545-7. 595Google Scholar
[60] and , Bounded derivations of JB*-triples. Quart. J. Math. Oxford 41 (1990), 255-68. 390, 528Google Scholar
[61] , On the field of values subordinate to a norm. Numer. Math. 4 (1962), 103-11. 116Google Scholar
[62] , , , and , Banach algebras with large groups of unitary elements. Quart. J. Math. Oxford 58 (2007), 203-20. 119, 157Google Scholar
[63] , , , and , Banach spaces whose algebras of operators have a large group of unitary elements. Math. Proc. Camb. Phil. Soc. 144 (2008), 97-108. 119, 174Google Scholar
[64] , , , and , Nonassociative unitary Banach algebras. J. Algebra 320 (2008), 3383-97. 119Google Scholar
[65] , , , and , Unitary Banach algebras. Studia Math. 162 (2004), 25-51. 119, 174, 423Google Scholar
[66] , , , and , Relatively weakly open sets in closed balls of Banach spaces, and real JB*-triples of finite rank. Math. Ann. 330 (2004), 45-58. 533, 534Google Scholar
[67] , , and , Relatively weakly open sets in closed balls of C*-algebras. J. London Math. Soc. 68 (2003), 753-61. 119Google Scholar
[68] , , and , Absolute-valuable Banach spaces. Illinois J. Math. 49 (2005), 121-38. 247, 249, 274Google Scholar
[69] and , Subdifferentiability of the norm and the Banach-Stone theorem for real and complexJB*-triples. Manuscripta Math. 114(2004), 503-16. 311Google Scholar
[70] and , Isometric reflections on Banach spaces after a paper of A. Skorik and M. Zaidenberg. Rocky Mountain J. Math. 30 (2000), 63-83. 310, 312, 316Google Scholar
[71] and , Transitivity of the normon Banach spaces having a Jordan structure. Manuscripta Math. 102(2000), 111-27. 339Google Scholar
[72] and , Characterizations of almost transitive superrreflexive Banach spaces. Comment. Math. Univ. Carolinae 42 (2001), 629-36. 318Google Scholar
[73] and , Transitivity of the normon Banach spaces. Extracta Math. 17 (2002), 1-58. 216, 313, 318, 339Google Scholar
[74] and , Strong subdifferentiability of the norm on JB*-triples. Quart. J. Math. Oxford 54 (2003), 381-90. 311Google Scholar
[75] and , Big points inC*-algebras and JB*-triples. Quart. J. Math. Oxford 56 (2005), 141-64. 312Google Scholar
[76] and , Absolute-valued algebras with involution, and infinite-dimensional Terekhin's trigonometric algebras. J. Algebra 293 (2005), 448-56. 200, 201, 246Google Scholar
[77] and , Non self-adjoint idempotents in C*-andJB*-algebras. Manuscripta Math. 124 (2007), 183-93. xix, 53, 562Google Scholar
[78] and , C* -andJB* -algebras generated by a non-self-adjoint idempotent. J. Funct. Anal. 248 (2007), 107-27. xix, 562Google Scholar
[79] and , Locally uniformly rotund points in convex-transitive Banach spaces. J. Math. Anal. Appl. 360 (2009), 108-18. 318Google Scholar
[80] , , and , Banach spaces whose algebras of operators are unitary: a holomorphic approach. Bull. London Math. Soc. 35 (2003), 218-24. 119, 174Google Scholar
[81] and , On a question of A. Wilansky in normed algebras. Studia Math. 95 (1989), 175-7. 448Google Scholar
[82] , Hermitian Jordan Banach algebras. J. London Math. Soc. 20 (1979), 327-33. xx, 336, 388, 605, 634Google Scholar
[83] and , Two projections and one idempotent. Int. J. Pure Appl. Math. 52(2009), 501-10. 562Google Scholar
[85] , JV-algèbres et JH*-algèbres. Canad. Math. Bull. 34 (1991), 447-55. 491, 492, 494Google Scholar
[86] , Weakness of the topology of a JB*-algebra. Canad. Math. Bull. 35 (1992), 449-54. 593, 595Google Scholar
[88] and , Noetherian Jordan Banach algebras are finite-dimensional. J. Algebra 213 (1999), 340-50. xxiGoogle Scholar
[89] , , and , Caractérisation des algèbres de Jordan-Banach de capacité finie. Bull. Sci. Math. 112 (1988), 473-80. xxiGoogle Scholar
[90] , , and , The socle and the largest spectrum finite ideal. Quart. J. Math. Oxford 42 (1991), 1-7. xxiGoogle Scholar
[91] and , Structure des algèbres de Jordan-Banach non commutatives complexes régulières ou semi-simples à spectre fini. J. Algebra 113 (1988), 201-6. xxi, 275, 422Google Scholar
[92] and , AlgÈBres de Jordan Banach vérifiant ∥x∥∥x−1∥= 1. J. Algebra 206 (1998), 129-34. 497Google Scholar
[93] and , Algèbres à puissances associatives normées sans J-diviseurs de zéro. Algebras Groups Geom. 16 (1999), 355-61. 222, 496Google Scholar
[94] and , Some new class of absolute-valued algebras with left-unit. Adv. Appl. Clifford Algebras 21 (2011), 3140. 246Google Scholar
[95] and , Caractérisation spectrale des algèbres de Jordan Banachnoncommutatives complexes modulaires annihilatrices. J. Algebra 140(1991), 344-54. xxi, 496, 497Google Scholar
[96] and , Continuity of Lie derivations on Banach algebras. Proc. Edinburgh Math. Soc. 41 (1998), 625-30. xiiiGoogle Scholar
[97] and , Continuity of Lie mappings of the skew elements of Banach algebras with involution. Proc. Amer. Math. Soc. 126 (1998), 2717-20. xiii, xxi, 598Google Scholar
[98] , Continuity of Lie isomorphisms of Banach algebras. Bull. London Math. Soc. 31 (1999), 6-10. xiii, xxi, 597, 598Google Scholar
[99] and , On the range of a Lie derivation on a Banach algebra. Comm. Algebra 28 (2000), 1045-50. xiiiGoogle Scholar
[101] , Surles inteígrales de Fourier absolument convergentes etleurapplication à fonctionelle. In: Neuvième congrès des mathématiciens scandinaves. Helsingfors, 1938, pp. 345-66. 36
[102] , , , and , Large annihilators in Cayley-Dickson algebras II. Bol. Soc. Mat. Mexicana 13 (2007), 269-92. 199Google Scholar
[103] , , , and , Eigentheory of Cayley- Dickson algebras. Forum Math. 21 (2009), 833-51. 199Google Scholar
[104] , , and , Large annihilators in Cayley-Dickson algebras. Comm. Algebra 36 (2008), 632-64. 199Google Scholar
[106] , , and , A characterization of operator algebras. J. Funct. Anal. 89 (1990), 188-201. xviii, 160, 173Google Scholar
[107] , Entire functions of exponential type. Bull. Amer. Math. Soc. 48 (1942), 839-49. 647Google Scholar
[108] and , Geometrical properties of the units phere of a Banach algebra. Ann. of Math. 62 (1955), 217-29. 94, 114, 115Google Scholar
[109] , An extension to the theorem of Bishop and Phelps. Bull. London Math. Soc. 2 (1970), 181-2. 287Google Scholar
[110] , The numerical range in Banach algebras and complex functions of exponential type. Bull. London Math. Soc. 3 (1971), 27-33. xx, 636, 665Google Scholar
[111] , A minimal property of the norm in some Banach algebras. J. London Math. Soc. 29 (1954), 156-64. xx, 157, 595, 596Google Scholar
[112] , Locally multiplicative wedges in Banach algebras. Proc. London Math. Soc. 30 (1975), 239-56. 388Google Scholar
[113] , Jordan algebras spanned by Hermitian elements of a Banach algebra. Math. Proc. Camb. Phil. Soc. 81 (1977), no. 1, 3-13. 157Google Scholar
[114] , Jordan subalgebras of Banach algebras. Proc. Edinburgh Math. Soc. 21 (1978), 103-10. 388Google Scholar
[115] and , The spectral radius of a Hermitian element of a Banach algebra. Bull. London Math. Soc. 2 (1970), 178-80. 157Google Scholar
[116] and , Dually irreducible representations of Banach algebras, Quart. J. Math. Oxford 19 (1968), 97-111. 219Google Scholar
[117] and , On the parallelizability of the spheres. Bull. Amer. Math. Soc. 64 (1958), 87-9. 221Google Scholar
[118] and , A gentle guide to the basics of two projections theory. Linear Algebra Appl. 432 (2010), 1412-59. 562Google Scholar
[119] , On Jordan Banach algebras with countably generated innerideals. Algebra Colloq. 17 (2010), 211-22. xxiGoogle Scholar
[120] , , , , and , Noetherian Banach Jordan pairs. Math. Proc. Camb. Phil. Soc. 130 (2001), 25-36. xxiGoogle Scholar
[121] and , Jordan-*-triples with minimal inner ideals and compact JB*-triples. Proc. London Math. Soc. 68 (1994), 380-98. xxi, 595Google Scholar
[122] , , , and , Numerical index of Banach spaces and duality. Math. Proc. Camb. Phil. Soc. 142(2007), 93-102. 116Google Scholar
[123] and , Unbounded derivations of C*-algebras. II. Comm. Math. Phys. 46 (1976), 11-30. 636, 669Google Scholar
[124] , Structure and representations of non-commutative C*-Jordan algebras. Manuscripta Math. 41 (1983), 139-71. xx, 356Google Scholar
[125] , A Gelfand-Neumark theorem for C* -alternative algebras. Math. Z. 185 (1984), 225-42. xiii, 159, 216, 344, 447Google Scholar
[126] , , and , A holomorphic characterization of Jordan C*-algebras. Math. Z. 161 (1978), 277-90. xv, xix, 356, 359, 390, 494, 495, 497, 531, 532Google Scholar
[127] , Points irreíguliers et transformations continues en theíorie du potentiel. J. Math. Pures Appl. 19 (1940), 319-37. 634Google Scholar
[129] and , Identities for algebras obtained from the Cayley-Dickson process. Comm. Algebra 29 (2001), 3523-34. 199Google Scholar
[130] , , , and , Lie triple ideals and Lie triple epimorphisms on Jordan and Jordan-Banach algebras. Studia Math. 169 (2005), 207-28. xiii, xxi, 598Google Scholar
[131] , , and , On locally complex algebras and low-dimensional Cayley-Dickson algebras. J. Algebra 327 (2011), 107-25. 199, 200Google Scholar
[132] , States, numerical ranges, etc. InProceedings of the Brown informal analysis seminar. Summer, 1969 (revised version, Summer of 2012). 666
[133] , On Bernstein's inequality and the norm of Hermitian operators. Amer. Math. Monthly 78 (1971), 871-3. 156, 157, 666Google Scholar
[134] , On generalized Cayley-Dickson algebras. Pacific J. Math. 20 (1967), 415-22. 199Google Scholar
[135] , , , and , A Saitô–Tomita–Lusin theorem for JB* -triples and applications. Quart. J. Math. Oxford 57 (2006), 37-48. 529Google Scholar
[136] and , Images of contractive projections on operator algebras. J. Math. Anal. Appl. 272 (2002), 55-66. 358Google Scholar
[137] , , , and , Von Neumann regularity in Jordan-Banach triples. In [704], pp. 67-88. 528, 535
[138] , Double centralizers and extensions of C*-algebras. Trans. Amer. Math. Soc. 132(1968), 79-99. 159Google Scholar
[139] , Regards sur le problème des rotations de Mazur. Extracta Math. 12 (1997), 97-116. 339Google Scholar
[140] , , , and , An Allison–Kantor–Koecher–Tits construction for Lie H*-algebras. J. Algebra 164 (1994), 361-408. 222Google Scholar
[141] , , and , Malcev H* -algebras. Math. Proc. Camb. Phil. Soc. 103 (1988), 463-71. 222Google Scholar
[142] , , and , Nonassociative real H*-algebras. Publ. Mat. 32 (1988), 267-74. xxi, 222Google Scholar
[143] , , and , A note on real H* -algebras. Math. Proc. Camb. Phil. Soc. 105 (1989), 131-2. 222Google Scholar
[145] , , and , Normed versions of the Zel'manov prime theorem: positive results and limits. In Operator theory, operator algebras and related topics (Timisoara, 1996) (eds. , , and ), pp. 65-77, Theta Found., Bucharest, 1997. xxi, 422
[146] , , and , Zel'manov's theorem for primitive Jordan- Banach algebras. J. London Math. Soc. 57 (1998), 231-44. xxi, 338Google Scholar
[147] , , , and , Jordan polynomials can be analytically recognized. Studia Math. 117 (1996), 137-47. xxiGoogle Scholar
[148] and , Extended centroid and central closure of semiprime normed algebras: a first approach. Comm. Algebra 18 (1990), 2293-326. xxi, 222, 449Google Scholar
[149] and , Nonassociative ultraprime normed algebras. Quart. J. Math. Oxford 43 (1992), 1-7. xxi, 203, 222, 274Google Scholar
[150] and , New associative and nonassociative Gelfand-Naimark theorems. Manuscripta Math. 79 (1993), 197-208. 422Google Scholar
[151] and , Zel'manov theorem for normed simple Jordan algebras with a unit. Bull. London Math. Soc. 25 (1993), 59-63. xxiGoogle Scholar
[152] and , Non-degenerately ultraprime Jordan-Banach algebras: a Zel'manovian treatment. Proc. London Math. Soc. 69 (1994), 576-604. xxi, 422Google Scholar
[153] and , A new simple proof of the Gelfand-Mazur-Kaplansky theorem. Proc. Amer. Math. Soc. 123 (1995), 2663-6. 202, 203Google Scholar
[154] and , On the Gelfand-Naimark axiom ∥a*a∥ = ∥a*∥∥a∥. Quart. J. Math. Oxford 63 (2012), 855-60. 423, 425Google Scholar
[155] , , , , , and , Finite- dimensional absolute-valued algebras. Israel J. Math. 184 (2011), 193-220. 221Google Scholar
[157] , Two-sided ideals and congruences in the ring of bounded operators in Hilbert space. Ann. of Math. 42 (1941), 839-73. 93Google Scholar
[159] , Les groupes bilinéaires et les systèmes de nombres complexes. Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. 12 (1898), 1-99. Reprinted in Oeuvres completes, Vol II, Paris, Gauthier-Villars, 1952. 445Google Scholar
[160] , Theorie generale du balayage en potentiel newtonien. Ann. Univ. Grenoble. Sect. Sci. Math. Phys. 22 (1946), 221-80. 634Google Scholar
[161] , Approximation properties. In Handbook of the geometry of Banach spaces, Vol. I (eds. and ), pp. 271-316, North-Holland, Amsterdam, 2001. Addenda and corrigenda: In [757], pp. 1817-18. 91
[162] and , Isomorphisms of H*-triplesystems. Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. 19 (1992), 507-14. 390Google Scholar
[163] and , Associative H *-triple systems. In [734], pp. 45-67. 222
[164] , On Jacobi's elliptic functions, in reply to the Rev. B. Bronwin; and on quaternions. Philos. Mag. 26 (1845), 208-11. 199Google Scholar
[165] and , Continuity of homomorphisms into complete normed algebraic algebras. J. Algebra 264 (2003), 6-14. xxi, 200, 221, 444, 494, 597Google Scholar
[166] and , Nonassociative algebras with submultiplicative bilinear form. Acta Math. Univ. Comenian. 63 (1994), 285-301. 222Google Scholar
[167] and , Conjugacy classes of subalgebras of the real sedenions. Canad. Math. Bull. 49 (2006), 492-507. 199Google Scholar
[168] and , Mutations of absolute valued algebras. Int. J. Algebra 2 (2008), 357-68. 219Google Scholar
[169] and , Injectivity and operator spaces. J. Funct. Anal. 24 (1974), 156-209. 160, 172, 175Google Scholar
[170] , Some geometric properties of Banach spaces and on it. J. Nanjing Univ. 6 (1989), 37-45. 310, 312Google Scholar
[171] , , , and , Surjective isometries of real C*-algebras. J. London Math. Soc. 47 (1993), 97-118. 533Google Scholar
[172] , , and , Grothendieck's theorem and factorization of operators in Jordan triples. Math. Ann. 284 (1989), 41-53. xxGoogle Scholar
[173] and , Jordan structures in Banach spaces and symmetric manifolds. Expos. Math. 16 (1998), 157-80. xviiiGoogle Scholar
[174] and , Automatic continuity of homomorphisms in nonassociative Banach algebras. Canadian J. Math. 65 (2013), 989-1004. 494Google Scholar
[175] and , Lie and Jordan structures in Banach algebras. Pacific J. Math. 15 (1965), 775-97. xiii, 445Google Scholar
[176] , Homomorphisms of non-commutative *-algebras. Pacific J. Math. 13 (1963), 1097-109. xx, 565, 595Google Scholar
[177] and , Prime noncommutative Jordan algebras and central closure. Algebras Groups Geom. 5 (1988), 129-36. 449Google Scholar
[178] , On homomorphic images of special Jordan algebras. Canadian J. Math. 6 (1954), 253-64. 337Google Scholar
[179] and , On upper semicontinuity of duality mappings. Proc. Amer. Math. Soc. 121 (1994), 451-9. 312Google Scholar
[180] , , and , C*-algebras that are I-rings. J. Math. Anal. Appl. 198 (1996), 227-36. 311Google Scholar
[181] , An analytic characterization of groups with no finite conjugacy classes. Proc. Amer. Math. Soc. 87 (1983), 7-10. 119Google Scholar
[182] , , and , Some extremal problems in the theory of numerical ranges. Acta Math. 128 (1972), 123-42. xx, 666, 667Google Scholar
[183] , , and , Characterizations of commutativity for C*-algebras. Glasgow Math. J. 15 (1974), 172-5. 391Google Scholar
[184] and , Numerical ranges of powers of Hermitian elements. Glasgow Math. J. 28 (1986), 37-45. 666Google Scholar
[185] and , Polynomials in a Hermitian element. Glasgow Math. J. 30 (1988), 171-6. 666Google Scholar
[186] and , Locally PI-algebras over valued fields. In Aportaciones matemáticas en memoria del Profesor V M. Onieva, pp. 137-45, Santander, Universidad de Cantabria, 1991. 275
[187] and , Bounded degree of algebraic topological algebras. Comm. Algebra 422 (1994), 329-37. 275, 276Google Scholar
[188] , , , and , Bounded degree of weakly algebraic topological Lie algebras. Manuscripta Math. 81 (1993), 129-39. xiii, 275Google Scholar
[189] , The geometry of Banach spaces. Smoothness. Trans. Amer. Math. Soc. 110 (1964), 284-314. 310, 311Google Scholar
[190] , On one-sided division infinite-dimensional normed real algebras. Publ. Mat. 36 (1992), 485-8. 245Google Scholar
[191] , On composition and absolute-valued algebras. Proc. Roy. Soc. Edinburgh Sect. A 136 (2006), 717-31. 279Google Scholar
[193] , On structure theory of pre-Hilbert algebras. Proc. R. Soc. Edinburgh 139A (2009), 303-19. 220Google Scholar
[194] , Some classes of pre-Hilbert algebras with norm-one central idempotent. Israel J. Math. 193 (2013), 343-58. 220, 221, 222Google Scholar
[195] , A new class of division algebras and Wedderburn's and Frobenius' Theorems. Preprint 2012. 199
[196] , Third-power associative absolute vaued algebras with a nonzero idem-potent commuting with all idempotents. Publ. Mat. (to appear). 280
[197] , , and . Structure theory for L*-algebras, Math. Proc. Camb. Phil. Soc. 107 (1990), 361-5. 222Google Scholar
[198] and , Isomorphisms of H*-algebras. Math. Proc. Cambridge Phil. Soc. 97 (1985), 93-9. xxi, 222Google Scholar
[199] and , Structure theory for noncommutative Jordan H*- algebras. J. Algebra 106 (1987), 1-14. xxi, 222, 237, 274Google Scholar
[200] and , Absolute values on H* -algebras. Comm. Algebra 23 (1995), 1709-40. 222, 237, 274, 281Google Scholar
[204] , On norms on algebras. In [773], pp. 61-96. 565, 595, 596, 597
[205] , Real isometries between JB*-triples. Proc. Amer. Math. Soc. 114 (1992), 971-80. 534Google Scholar
[206] and , Real Banach Jordan triples. Proc. Amer. Math. Soc. 122 (1994), 135-45. 534Google Scholar
[207] and , Classification of the four-dimensional power-commutative realdivision algebras. Proc. Roy. Soc. Edinburgh Sect. A 141 (2011), 1207-23. 283Google Scholar
[208] , Separable Banach spaces with only trivial isometries. Rev. Roumaine Math. Pures Appl. 16 (1971), 1051-4. 423Google Scholar
[209] , , , and , Factoring weakly compact operators. J. Funct. Anal. 17 (1974), 311-27. 88Google Scholar
[210] , , and , A brief statement on the absolute-valued algebras with one-sided unit. Int. J. Algebra 7 (2013), 833-8. 246Google Scholar
[211] , On quaternions and their generalization and the history of the eight square theorem. Ann. of Math. 20 (1919), 155-71. 199Google Scholar
[212] , Linear algebras with associativity not assumed. Duke Math. J. 1 (1935), 113-25. 200Google Scholar
[213] , The second dual of a JB*-triple system. In Complexanalysis, functional analysis and approximation theory (ed. ), pp. 67-9, North-Holland Math. Stud. 125, North-Holland, Amsterdam-New York, 1986. xx, 532
[214] , A generalization of a theorem of Civin and Yood on Banach *-algebras. Bull. London Math. Soc. 4 (1972), 25-6. 635Google Scholar
[215] , An example of a solvable but not nilpotent alternative ring. Uspekhi Mat. Nauk 15 (1960), 147-50. 269Google Scholar
[216] , Review of [425]. Math. Rev. 87e:46067. 115, 422
[217] , , , and , The numerical index of a normed space. J. London Math. Soc. 2 (1970), 481-8. 118, 338Google Scholar
[218] and , Norm inequalities for C*-algebras. Proc. Roy. Soc. Edinburgh Sect. A 75 (1975/76), 119-29. 53Google Scholar
[219] , Spectral theory I. Convergence to projections. Trans. Amer. Math. Soc. 54 (1943), 185-217. 69Google Scholar
[220] and , Norm-to-weak upper semi-continuity of the pre-duality map. J. Anal. 12 (2005), 1-10. 310, 313, 316Google Scholar
[221] and , On automorphisms and derivations of Cayley-Dickson algebras. J. Algebra 129 (1990), 263-78. 199Google Scholar
[224] , , , and , On the facial structure of the unit ball in a JB*-triple. J. Reine Angew. Math. 641 (2010), 123-44. 532Google Scholar
[225] and , On the facial structure of the unit balls in a JBW*- triple and its predual. J. London Math. Soc. 38 (1988), 317-32. 532Google Scholar
[226] and , The facial and inner ideal structure of a real JBW*-triple. Math. Nachr. 222(2001), 159-84. 534, 536Google Scholar
[227] , Multiplicative norms on Banach algebras. Math. Proc. Camb. Phil. Soc. 47 (1951), 473-4. 497Google Scholar
[228] and , Jordan algebras of self-adjoint operators. Trans. Amer. Math. Soc. 127 (1967), 313-16. xivGoogle Scholar
[229] and , Positive projections and Jordan structure in operator algebras. Math. Scand. 45 (1979), 127-38. 358Google Scholar
[230] , On isomorphisms of rings of linear operators. Studia Math. 9 (1940), 97-105. 597Google Scholar
[232] and , Infinite-dimensional quadratic forms admitting composition. Proc. Amer. Math. Soc. 125 (1997), 2207-16. 221, 245Google Scholar
[233] , The duality of partially ordered normed linear spaces. J. London Math. Soc. 39 (1964), 730-44. 313Google Scholar
[234] , Minimal decompositions in base normed spaces. In Foundations of quantum mechanics and ordered linear spaces (Advanced Study Inst., Marburg, 1973), pp. 30-2. Lecture Notes in Phys. 29, Springer, Berlin, 1974. 310, 311
[235] , Quelques résultats sur les algèbres absolument valuées. Arch. Math. 38 (1982), 432-7. 278, 279Google Scholar
[236] , Sur les algèbres absolument valuees qui vérifient l'identité (x,x,x) = 0. J. Algebra 80 (1983), 314-22. 279Google Scholar
[237] , On finite dimensional absolute valued algebras satisfying (x,x,x) = 0. Arch. Math. 49 (1987), 16-22. 279Google Scholar
[238] , Absolute valued algebras with an involution. Arch. Math. 51 (1988), 39-49. 246, 278, 279Google Scholar
[239] , Absolute valued algebras containing a central idempotent. J. Algebra 128 (1990), 180-7. 219, 279Google Scholar
[240] , Absolute valued algebraic algebra satisfying (x, x, x)=0. Pure Math. Appl. 8 (1997), 39-52. 278, 280Google Scholar
[241] , Semi-algebraic absolute valued algebras with an involution. Comm. Algebra 31 (2003), 3135-41. 246Google Scholar
[242] , , , and , On absolute valued algebras with involution. Linear Algebra Appl. 414 (2006), 295-303. 246Google Scholar
[243] and , Sur les algèbres normées sans diviseurs topologiques de zéro. Bol. Soc. Mat. Mexicana 25 (1980), 23-8. 200, 202, 221Google Scholar
[244] and , Sur les dimensions des algèbres absolument valuées. J. Algebra 68 (1981), 237-46. 279Google Scholar
[245] , A counterexample to the approximation problem in Banach spaces. Acta Math. 130 (1973), 309-17. 90nGoogle Scholar
[247] , Normes d'algèbres minimales, topologie d'algèbre normée minimum sur certaines algèbres d'endomorphismes continus d'un espace normé.. R. Acad. Sci. Paris Ser. A-B 277 (1973), A425-7. 597
[248] and , Some geometrical properties of the spheres in a normed linear space. Duke Math. J. 25 (1958), 553-68. 313Google Scholar
[249] , New proof of Frobenius hypothesis on the dimensions of real algebras without divisors of zero. Moscow Univ. Math. Bull. 55 (2000), 48-50. 221Google Scholar
[250] , Modular annihilator Jordan algebras. Comm. Algebra 13 (1985), 2597-613. xxi, 593Google Scholar
[251] , Noncommutative Jordan Riesz algebras. Quart. J. Math. Oxford 39 (1988), 67-80. xxiGoogle Scholar
[252] , Noncommutative Jordan algebras containing minimal inner ideals. In [749], pp. 153-76. xxi
[253] , Banach-Lie algebras spanned by extremal elements. In [704], pp. 125-32. xiii
[254] , Banach-Lie algebras with extremal elements. Quart. J. Math. Oxford 62(2011), 115-29. xiiiGoogle Scholar
[255] , , and , A Zel'manov prime theorem for JB*-algebras. J. London Math. Soc. 46 (1992), 319-35. xxiGoogle Scholar
[256] , , and , von Neumann regular Jordan Banach triple systems. J. London Math. Soc. 42 (1990), 32-48. xxiGoogle Scholar
[257] and , Primitive noncommutative Jordan algebras with nonzero socle. Proc. Amer. Math. Soc. 96 (1986), 199-206. 595Google Scholar
[258] and , On the socle of a noncommutative Jordan algebra. Manuscripta Math. 56 (1986), 269-78. xxiGoogle Scholar
[259] and , A Wedderburn theorem for nonassociative complete normed algebras. J. London Math. Soc. 33 (1986), 328-38. xxi, 222, 593Google Scholar
[260] , , and , Surjective isometries between real JB*-triples. Math. Proc. Camb. Phil. Soc. 137 (2004), 709-23. 534, 535Google Scholar
[261] , , and , Geometric characterization of tripotents in real and complex JB*-triples. J. Math. Anal. Appl. 295 (2004), 435-43. 337, 498, 532, 535, 536Google Scholar
[262] , , and , A Kaplansky theorem for JB*-triples. Proc. Amer. Math. Soc. 140 (2012), 3179-91. 595Google Scholar
[263] , Uniform convexity properties of norms on superreflexive Banach spaces. Israel J. Math. 53 (1986), 81-92. 318Google Scholar
[264] , Sur certains theoremes de J. von Neumann concernant les ensembles spectraux. Acta Sci. Math. 18 (1957), 15-20. 174Google Scholar
[265] , A square root lemma for Banach *-algebras. J. London Math. Soc. 42(1967), 521-2. 634Google Scholar
[267] , Lipschitz maps and the geometry of the unit ball in normed spaces. Arch. Math. 46 (1986), 76-84. 312Google Scholar
[268] and , Banach spaces with strongly subdifferentiable norm. Boll. Un.Mat.Ital 7 (1993), 45-70. xix, 310, 312Google Scholar
[269] and , Structure of the predual of a JBW*-triple. J. Reine Angew. Math. 356 (1985), 67-89. xix, 498, 529Google Scholar
[270] and , The Gelfand–Naimark theorem for JB*-triples. Duke Math. J. 53 (1986), 139-48. 495, 529Google Scholar
[271] , Über lineare Substitutionen und bilineare Formen. J. Reine Angew. Math. 84 (1878), 1-63. Reprinted in Gesammelte Abhandlungen Band I, pp. 343-405. 199Google Scholar
[272] , Unital multiplications on a Hilbert space. Proc. Amer. Math. Soc. 117 (1993), 757-9. 220Google Scholar
[273] , On a theorem of Gelfand and Neumark and the B*-algebra. Kumamoto J. Sci. Ser. A 1 (1952), 17-22. 157, 692Google Scholar
[274] and , Geometric series in incomplete normed algebras. Amer. Math. Monthly 91 (1984), 49-51. 448Google Scholar
[275] , Weakly compact homomorphisms in nonassociative algebras. In [734], pp. 167-71. 275
[276] , , and , Weakly compact homomorphisms. Trans. Amer. Math. Soc. 331 (1992), 815-24. 275Google Scholar
[277] , , and , Charged representations of the infinite Fermi and Clifford algebras. Lett. Math. Phys. 72 (2005), 65-77. 246Google Scholar
[278] , , and , Spinor types in infinite dimensions. J. Lie Theory 15 (2005), 457-95. 246Google Scholar
[279] , Uber schwache totalstetige Operatoren. Rec. Math. [Mat. Sbornik] 7 (1940), 301-8. 88Google Scholar
[281] , An elementary proof of the Russo-Dye theorem. Proc. Amer. Math. Soc. 90 (1984), 181. 157, 498, 533Google Scholar
[282] and , Wild Pfister forms over Henselian fields, K-theory, and conic division algebras. J. Algebra 327 (2011), 386-465. 221Google Scholar
[285] and , On the embedding of normed rings into the ring of operators in Hilbert space. Mat. Sbornik 12 (1943), 197-213. 52, 157Google Scholar
[286] and , Rings of continuous functions on topological spaces. Doklady Akad. Nauk SSSR 22 (1939), 11-15. 37Google Scholar
[287] , , and , Geometrical implications of upper semi-continuity of the duality mapping of a Banach space. Pacific J. Math. 79 (1978), 99-109. xix, 283, 310, 311Google Scholar
[289] , A metric characterization of C(X) and its generalization to C*-algebras. Illinois J. Math. 10 (1966), 547-56. 156, 632Google Scholar
[290] and , Unitary operators in C*-algebras. Pacific J. Math. 10 (1960), 547-56. xix, 422Google Scholar
[291] and , Norm-to-weak upper semi-continuity of the dualityand pre-duality mappings. Set-Valued Anal. 10 (2002), 317-30. xix, 284, 310, 313Google Scholar
[292] , , and , Strong subdifferentiability of norms and geometry of Banach spaces. Comment. Math. Univ. Carolinae 36 (1995), 493-502. 312Google Scholar
[293] and , Renorming and extremal structures. Illinois J. Math. 48 (2004), 1021-9. xix, 115, 310, 313, 316Google Scholar
[294] , , and , Normally solvable operators and ideals associated with them. Bul. Akad. Stiince RSS Moldoven 10(1960), 51-70. Amer. Math. Soc. Transl.61 (1967), 63-4. 93Google Scholar
[295] , On nil-algebras and finitely approximable p-groups. Izv. Akad. Nauk SSSR, Ser. Mat. 28 (1964), 273-6. 276Google Scholar
[296] , Bernstein inequalities from the perspective of operator theory. (In Russian.) Vestnik Khar'kov. Gos. Univ. 205 (1980), 77-105, 140. 119Google Scholar
[297] and , The unconditional basic sequence problem. J. Amer. Math. Soc. 6 (1993), 851-74. 247, 248Google Scholar
[298] , The nilpotence of Banach nil algebras. Proc. Amer. Math. Soc. 21 (1969), 510. 276Google Scholar
[299] , Upper semi-continuity of subdifferential mappings. Canad. Math. Bull. 23 (1980), 11-19. xix, 284, 310, 311Google Scholar
[300] and , Almost transitivity in C0(L). Math. Proc. Camb. Phil. Soc. 121 (1997), 75-80. 339Google Scholar
[301] and , On strongly extreme and denting contractions in L (C(X),C(Y)). Bull. Acad. Sinica 25 (1997), 155-60. 119Google Scholar
[302] , , and , Means of unitary operators, revisited. Math. Scand. 100 (2007), 193-7. 533Google Scholar
[303] , A non-semiprime associative algebra with zero weak radical. Extracta Math. 12 (1997), 53-60. 565, 597, 599Google Scholar
[304] , , and , Algebra descent spectrum of operators. Israel J. Math. 177 (2010), 349-68. 92, 93, 249Google Scholar
[305] , Injectiveenvelopes of C*-algebras. J. Math. Soc. Japan 31 (1979), 181-97. 131, 160Google Scholar
[306] , Note by Professor Sir W. R. Hamilton, respecting the researches of John T. Graves, esq. Trans. R. Irish Acad., 1848, Science338-41. 199
[309] and , Banach algebras with unitary norms. Pacific J. Math. 175 (1996), 535-52. 119, 173Google Scholar
[310] and , Jensen's inequality for operators and Lowner's theorem. Math. Ann. 258 (1981/1982), 229-41. 159Google Scholar
[311] and , An intersection property of balls and relations with M-ideals. Math. Z. 197 (1988), 277-90. 118Google Scholar
[312] , The numerical range of holomorphic functions in Banach spaces. Amer. J. Math. 93 (1971), 1005-19. 114, 117Google Scholar
[313] , Banach algebras with involution and Mobius transformations. J. Funct. Anal. 11 (1972), 1-16. xvii, 157, 635Google Scholar
[314] , Bounded symmetric homogeneous domains in infinite dimensional spaces. In Proceedings on Infinite Dimensional Holomorphy (Internat. Conf., Univ. Kentucky, Lexington, KY, 1973), pp. 13-40. Lecture Notes in Math. 364, Springer, Berlin, 1974. 130, 532
[315] , The numerical range of functions and best approximation. Math. Proc. Camb. Phil. Soc. 76 (1974), 133-41. 117Google Scholar
[316] and , Schurian algebras and spectral additivity. J. Algebra 180 (1996), 175-86. 598Google Scholar
[317] and , On generalized inverses in C*-algebras. Studia Math. 103 (1992), 71-7. 562Google Scholar
[318] , Ultraproducts in Banach space theory. J. Reine Angew. Math. 313 (1980), 72-104. 271Google Scholar
[319] and , A Kaplansky theorem for JB*-algebras. Rocky Mountain J. Math. 28 (1998), 977-82. 595Google Scholar
[321] , Jordan derivations of prime rings. Proc. Amer. Math. Soc. 8 (1957), 1104-10. 131Google Scholar
[322] , A spectral characterization of the socle of Banach Jordan systems. Math. Z. 223 (1996), 561-8. xxiGoogle Scholar
[323] , Inessential and Riesz elements in Banach Jordan systems. Quart. J. Math. Oxford 47 (1996), 337-47. xxiGoogle Scholar
[324] , The trace in Banach Jordan pairs. Bull. London Math. Soc. 30 (1998), 561-8. xxiGoogle Scholar
[325] , An improved characterization of inessential elements in Banach Jordan systems and the generalized Ruston characterization. Arch. Math. (Basel) 74 (2000), 438-40. xxiGoogle Scholar
[326] and , On Banach Jordan systems with at most two spectral values. Far East J. Math. Sci. (FJMS) 7 (2002), 115-20. xxiGoogle Scholar
[327] and , Spectral characterization of finite-dimensional algebras. Indag. Math. 34 (1972), 19-23. 275Google Scholar
[328] and , Maximal modular inner ideals and the Jacobson radical of a Jordan algebra. J. Algebra 68 (1981), 155-69. 594, 595Google Scholar
[329] , Continuous mappings induced by isometries of spaces of continuous functions. Studia Math. 26 (1966), 133-6. 274Google Scholar
[330] , Classification of JBW *-triples of Type I. Math. Z. 196 (1987), 271-91. 495, 529Google Scholar
[331] , Coordinatization theorem for JBW*-triples. Quart. J. Math. Oxford 38 (1987), 321-35. xivGoogle Scholar
[332] and , An abstract characterization of unital operator spaces. J. Operator Theory 67 (2012), 289-98. 115Google Scholar
[333] , The normed space numerical index of C*-algebras. Proc. Amer. Math. Soc. 63 (1977), 289-90. 339, 422Google Scholar
[334] , Über die Composition der quadratischen Formen von beliebig vielen Variabelm. Nach.Ges.Wiss. Göttingen (1898), 309-16. 217Google Scholar
[336] , A vertex property for Banach algebras with identity, Math. Scand. 11 (1962), 22-32. 216Google Scholar
[337] , Hilbertalgebras with identity. Bull. Amer. Math. Soc. 69 (1963), 794-6. xii, 219Google Scholar
[338] , Non-associative normed algebras and Hurwitz' problem. Ark. Mat. 5 (1964), 231-8. xii, 219, 220Google Scholar
[340] , , and , Commutativity of C*-algebras and associativity of JB*-algebras. Math. Proc. Camb. Phil. Soc. 106 (1989), 281-91. xxi, 422, 562Google Scholar
[341] , , and , On real forms of JB*-triples. Manuscripta Math. 86 (1995), 311-35. 498, 533, 534, 535, 536Google Scholar
[342] and , Isometries of JB-algebras. Manuscripta Math. 86 (1995), 337-48. xv, 338, 535Google Scholar
[343] and , On the definition of real W*-algebras. Proc. Amer. Math. Soc. 124 (1996), 3407-10. 535Google Scholar
[344] , Structure theory of simple rings without finiteness assumptions. Trans. Amer. Math. Soc. 57 (1945), 228-45. 445Google Scholar
[345] , The radical and semisimplicity for arbitrary rings. Amer. J. Math. 67 (1945), 300-20. 445, 448Google Scholar
[346] , A topology for the set of primitive ideals in an arbitrary ring. Proc. Nat. Acad. Sci. USA 31 (1945), 333-8. 445Google Scholar
[347] , Structure theory for algebraic algebras of bounded degree. Ann. of Math. 46 (1945), 695-707. 276Google Scholar
[348] , A theorem on the structure of Jordan algebras. Proc. Nat. Acad. Sci. USA 42(1956), 140-7. 490Google Scholar
[349] , Composition algebras and their automorphisms. Rend. Circ. Mat. Palermo 7 (1958), 55-80. 281Google Scholar
[350] , Abraham Adrian Albert 1905-1972. Bull. Amer. Math. Soc. 80 (1974), 1075-100. Reprinted in [691], pp. xlv-lxiii. 599Google Scholar
[351] and , Jordan homomorphisms of rings. Trans. Amer. Math. Soc. 69 (1950), 479-502. 635Google Scholar
[352] , Centralisers on certain topological algebras. J. London Math. Soc. 39 (1964), 603-14. 159Google Scholar
[353] , The uniqueness of the (complete) normtopology. Bull. Amer. Math. Soc. 73 (1967), 537-9. xx, 565, 592Google Scholar
[354] , Continuity of derivations on commutative Banach algebras. Amer. J. Math. 91 (1969), 1-10. 391Google Scholar
[355] and , Continuity of derivations and a problem of Kaplansky. Amer. J. Math. 90 (1968), 1067-73. 130, 598Google Scholar
[356] , , and , On an algebraic generalization of the quantum mechanical formalism. Ann. of Math. 35 (1934), 29-64. 171, 172Google Scholar
[357] , , , and , Convexity around the unit of a Banach algebra. Serdica Math. J. 34 (2008), 619-28. 118Google Scholar
[358] , Isometries of operator algebras. Ann. of Math. 54 (1951), 325-38. xv, xviii, 115, 120, 130, 131Google Scholar
[359] , A generalized Schwarz inequality and algebraic invariants for operator algebras. Ann. of Math. 56 (1952), 494-503. xvGoogle Scholar
[360] and , Means and convex combinations of unitary operators. Math. Scand. 57 (1985), 249-66. 157, 498, 533Google Scholar
[361] , Structure des algèbres de Jordan-Banach non commutatives reelles de division. In [749], pp. 119-24. 202, 497
[362] , , and , On a non-associative Vidav-Palmer theorem. Quart. J. Math. Oxford 32 (1981), 435-42. 130, 157, 172, 216, 356Google Scholar
[363] , , and , Prime non-commutative JB*-algebras. Bull. London Math. Soc. 32 (2000), 703-8. xxiGoogle Scholar
[364] , , and , Geometrical properties of the product of a C*-algebra. Rocky Mountain J. Math. 31 (2001), 197-213. 422, 423Google Scholar
[365] , , and , A holomorphic characterization of C*-andJB*-algebras. Manuscripta Math. 104 (2001), 467-78. xvii, xx, 159, 390, 422, 531Google Scholar
[366] , , and , Non-associative C* -algebras revisited. In Recent progress in functional analysis, Proceedings of the International Functional Analysis Meeting on the occasion of the 70th birthday of Professor Manual Valdivia Valencia, Spain, July 3-7, 2000 (eds. , , , and ), pp. 379-408, North Holland Math. Studies 189, Elsevier, Amsterdam 2001. xv, 127, 390
[367] , , and , Absolute-valued algebraic algebras are finite-dimensional. J. Algebra 195 (1997), 295-307. 278, 279Google Scholar
[368] , , and , Absolute-valued algebraic algebras. In [705], pp. 103-9. 274, 279
[369] , , and , Nearly absolute-valued algebras. Comm. Algebra 30 (2002), 3267-84. 200, 244, 282, 283Google Scholar
[370] and , J-diviseurs topologiques de zéro dans une algebre de Jordan n.c. normeíe. In [733], pp. 193-7. 496
[371] and , The spectrum of automorphisms of Banach algebras. J. Funct. Anal. 4 (1969), 268-76. 390Google Scholar
[373] , Topological methods in valuation theory. Duke Math. J. 14 (1947), 527-41. 275, 276Google Scholar
[376] , Topological representation of algebras II. Trans. Amer. Math. Soc. 68 (1950), 62-75. 276Google Scholar
[377] , Infinite-dimensional quadratic forms permitting composition. Proc. Amer Math. Soc. 4 (1953), 956-60. xiii, 201, 218, 219, 245Google Scholar
[379] , ‘Problems in the theory of rings’ revisited. Amer. Math. Monthly 77 (1970), 445-54. 277Google Scholar
[380] , Algebraic characterization of symmetric complex Banach manifolds. Math. Ann. 228 (1977), 39-64. xviii, xix, 495, 497, 528Google Scholar
[381] , A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces. Math. Z. 183 (1983), 503-29. xviii, xix, xx, 130, 494, 495, 497, 527, 528Google Scholar
[382] , Contractive projections on Jordan C*-algebras and generalizations. Math. Scand. 54 (1984), 95-100. 160Google Scholar
[384] , JB*-triple. In [741], pp. 218-19. xviii
[385] and , Jordan algebras and symmetric Siegel domains in Banach spaces. Math. Z. 157 (1977), 179-200. xix, 532Google Scholar
[387] and , The positive cone in Banach algebras. Trans. Amer. Math. Soc. 74 (1953), 44-55. 157Google Scholar
[388] , Non-parallelizability of the n sphere for n > 7. Proc. Nat. Acad. Sci. USA 44 (1958), 280-3. 221Google Scholar
[390] , Primitive alternative rings and semi-simplicity. Amer. J. Math. 77 (1955), 725-30. 446Google Scholar
[392] , , and , Isometries on extremely non-complex Banach spaces. J. Inst. Math. Jussieu 10 (2011), 325-48. 423Google Scholar
[393] , , and , On C*-algebras generated by idempotents. J. Funct. Anal. 137 (1996), 303-19. 562Google Scholar
[394] , A very simple and elementary proof of a theorem of Ingelstam. Amer. Math. Monthly 111 (2004), 54-8. 220Google Scholar
[395] and , Martingale proofs of some geometrical results in Banach space theory. Pacific J. Math. 100 (1982), 153-75. 118Google Scholar
[396] , Ringtheoretische Probleme, die mit dem Burnsideschen Problem uber periodische Gruppen in Zusammenhang stehen. Bull. Acad. Sci. URSS. Ser. Math. [Izvestia Akad. Nauk SSSR] 5 (1941), 233-40. 276Google Scholar
[397] , Born-Infeld Lagrangian using Cayley-Dickson algebras. Internat. J. Modern Physics A 19 (2004), 1525-48. 199Google Scholar
[398] , On ring-theoretic (in)finiteness of Banach algebras of operators on Banach spaces. Glasgow Math. J. 45 (2003), 11-19. 249Google Scholar
[399] , , and , Geometric unitaries in JB-algebras. J. Math. Anal. Appl. 360 (2009), 491-4. 115, 337, 338, 535Google Scholar
[400] , The metric approximation property, norm-one projections and intersection properties of balls. Israel J. Math. 84 (1993), 451-75. 117Google Scholar
[402] , Properly algebraic and spectrum-finite ideals in Jordan systems. Math. Proc. Camb. Phil. Soc. 114 (1993), 149-61. xxiGoogle Scholar
[403] , On the set of invertible elements in Banach Jordan algebras. Results Math. 29 (1996), 111-14. 494Google Scholar
[404] , Trace and norm for reduced elements of Jordan pairs. Comm. Algebra 25 (1997), 3011-42. xxiGoogle Scholar
[405] , Nuclearelements in Banach Jordan pairs. In [705], pp. 111-17. xxi
[406] , Maximal ideal spaces of Banach algebras of derivable elements. J. Austral. Math. Soc. 11 (1970), 310-12. 665Google Scholar
[408] , Complex methods, and the estimation of operator norms and spectra from real numericalranges. J. Funct. Anal. 10 (1972), 482-95. 312Google Scholar
[409] and , Dissipative operators in a Banach space. Pacific J. Math. 11 (1961), 679-98. 117, 314Google Scholar
[410] , Jordan algebras with three generators. Proc. London Math. Soc. 10 (1960), 395-408. 389Google Scholar
[411] , Weak* continuous states on Banach algebras. J. Math. Anal. Appl. 350 (2009), 252-5. 311Google Scholar
[412] , Caracteírisations spectrales du radical et du socle d'une paire de Jordan- Banach. Canad. Math. Bull. 40 (1997), 488-97. xxiGoogle Scholar
[413] , Spectrum preserving linear mappings for scattered Jordan-Banach algebras. Proc. Amer. Math. Soc. 127 (1999), 3187-90. xxiGoogle Scholar
[414] , , and , A note on topological divisors of zero and division algebras. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Math. (to appear). 244
[415] and , The Jacobson radical of a non-associative algebra and the uniqueness of the complete norm topology. Bull. London Math. Soc. 42 (2010), 1010-20. 599Google Scholar
[416] and , Continuity of homomorphisms into power-associative complete normed algebras. Forum Math. 25 (2013), 1109-25. 494Google Scholar
[417] , The group of isometries of a Banach space and duality. J. Funct. Anal. 255 (2008), 2966-76. 116Google Scholar
[418] and , Numerical index of some polyhedral norms on the plane. Linear Multilinear Algebra 55 (2007), 175-90. 117Google Scholar
[419] , J. Merí, and , On the intrinsic and the spatial numerical range. J. Math. Anal. Appl. 318 (2006), 175-89. 117Google Scholar
[420] , , and , Finite-dimensional Banach spaces with numer-icalindex zero. Indiana Univ. Math. J. 53 (2004), 1279-89. 116Google Scholar
[421] and , Numerical index of vector-valued function spaces. Studia Math. 142 (2000), 269-80. 118, 338Google Scholar
[423] , Holomorphic functional calculus in Jordan-Banach algebras. In [749], pp. 125-34. 496, 497
[424] , Tracial elements for non associative H*-algebras. In [733], pp. 257-68. 222
[425] , , , and , An approach to numerical ranges without Banachalgebra theory. Illinois J. Math. 29 (1985), 609-25. xix, 115, 310, 311, 358, 679Google Scholar
[426] and , Separate weak*-continuity of the triple product in dual real JB*-triples. Math. Z. 234 (2000), 635-46. 534Google Scholar
[427] and , Imbedding elements whose numerical range has a vertex at zero in holomorphic semigroups. Proc. Edinburgh Math. Soc. 28 (1985), 91-5. 668Google Scholar
[428] , Rings of quotients of ultraprime Banach algebras, with applications to elementary operators. In [773], pp. 297-317. 203
[429] , Banach spaces with few operators. In [757], pp. 1247-97. 249
[430] , La preuve originale de S. Mazur pour son théorème sur les algèbres normées. Gaz. Math., Soc Math. Fr. 111 (2007), 5-11. 37, 202Google Scholar
[431] , Über konvexe Mengen in linearen normierten Räumen. Studia Math. 4 (1933), 70-84. 216Google Scholar
[432] , Surles anneaux lineíaires. C. R. Acad. Sci. Paris 207 (1938), 1025-7. 202, 221, 275Google Scholar
[433] , Norms and noncommutative Jordan algebras. Pacific J. Math. 15 (1965), 925-56. xix, 490, 495Google Scholar
[435] , The radical of a Jordan algebra. Proc. Nat. Acad. Sci. USA 62 (1969), 671-8. 565, 592, 634Google Scholar
[436] , Noncommutative Jordan rings. Trans. Amer. Math. Soc. 158 (1971), 1-33. xix, 565, 592, 634Google Scholar
[437] and , The structure of strongly prime quadratic Jordan algebras. Adv. Math. 69 (1988), 133-222. xxiGoogle Scholar
[438] , Strongly extreme points in Banach spaces. Manuscripta Math. 5 (1971), 113-22. 118Google Scholar
[439] , Functions and derivations of C*-algebras. J. Funct. Anal. 30 (1978), 264-75. 669Google Scholar
[440] and , Calcul fonctionnel harmonique dans les algèbres de Banach alternatives involutives et applications. Bull. Belg. Math. Soc. Simon Stevin 10 (2003), 141-52. 635Google Scholar
[441] and , Weakly compact operators on non-complete normed spaces. Expo. Math. 27 (2009), 143-51. xviii, 87, 88, 91Google Scholar
[442] and , Compact and weakly compact operators on non-complete normed spaces. In [704], pp. 205-11. 448
[443] , Identitaten und das Radikal in Jordan-Tripelsystemen. Math. Ann. 197 (1972), 203-20. 529Google Scholar
[444] , The infinite-dimensional geometry of the unit sphere of a Banach space. Soviet Math. Dokl. 8 (1967), 1440-4. 118Google Scholar
[446] , Hermitian functionals on B-algebras and duality characterizations of C*-algebras. Trans. Amer. Math. Soc. 162 (1971), 253-65. 115, 173, 344, 358Google Scholar
[447] , Distinguishing Jordan polynomials by means of a single Jordan-algebra norm. Studia Math. 122(1997), 67-73. xxiGoogle Scholar
[448] and , On the Zel'manovian classification of prime JB*-triples. J. Algebra 226 (2000), 577-613. xxiGoogle Scholar
[449] and , On the Zel'manovian classification of prime JB*-and JBW *-triples. Comm. Algebra 31 (2003), 1301-28. xxiGoogle Scholar
[450] and , Introducing Analysis in Zel'manov's theorems for Jordan systems. In Comptes rendus de la premièr rencontre Maroco-Andalouse sur les algèbres et leurs applications, Tétouan, Septembre 2001, pp. 8-36, Université Abdelmalek Essaadi, Faculteí des Sciences, Teítouan, 2003. xxi
[451] and , A bilinear version of Holsztynski's theorem on isometries of C(X)-spaces. Studia Math. 166 (2005), 83-91. 274, 275Google Scholar
[452] and , On multiplicatively closed subsets of normed algebras. J. Algebra 323 (2010), 1530-52. xiii, xxii, 38, 118, 276, 596, 631Google Scholar
[453] and , Topologically nilpotent normed algebras. J. Algebra 368 (2012), 126-68. xiii, xxii, 596, 604Google Scholar
[454] , The zero divisors of the Cayley-Dickson algebras over the real numbers. Bol. Soc. Mat. Mexicana 4 (1998), 13-28. 199Google Scholar
[455] , Alternative elements in the Cayley-Dickson algebras. In Topics in mathematical physics, general relativity and cosmology in honor of Jerzy Plebañski, pp. 333-46, World Sci. Publ., Hackensack, NJ, 2006. 199
[456] and , Sur les algèbres préhilbertiennes vérifiant ∥a2≤∥a∥2. Adv. Appl. Clifford Alg. 18 (2008), 269-78. 222Google Scholar
[457] , Einige analytishe Untersuchunger in linearen metrishen Ringen. Jap. J. Math. 13 (1936), 61-80. 36Google Scholar
[458] , Complete continuities of linear operators. Proc. Japan Acad. 27 (1951), 544-7. 88Google Scholar
[459] and , Unitary operators in real von Neumann algebras. J. Math. Anal. Appl. 386 (2012), 933-8. 157Google Scholar
[460] , Generators and relations for 3-graded Lie algebras, J. Algebra 155 (1993), 1-35. 222Google Scholar
[461] , On an algebraic generalization of the quantum mechanical formalism I. Mat. Sb. 1 (1936), 415-84. xivGoogle Scholar
[462] , , and , Continuity of homomorphisms and derivations on algebras of vector-valued functions. Quart. J. Math. Oxford 50 (1999), 279-300. xxiGoogle Scholar
[463] , Normed right alternative algebras over the reals. Canad. J. Math. 24(1972), 1183-6. 202Google Scholar
[464] , Gateaux differentials in Banach algebras. Math. Z. 139 (1974), 23-34. 216, 219Google Scholar
[465] , On bounded approximation properties of Banach spaces. In Banach algebras 2009, pp. 219-31, Banach Center Publ. 91, Polish Acad. Sci. Inst. Math., Warsaw, 2010. 91
[466] , A structure theorem of automorphisms of von Neumann algebras. To)hoku Math. J. 20 (1968), 199-206. 359, 392Google Scholar
[467] , Pseudo-quaternion and pseudo-octonion algebras. Hadronic J. 1 (1978), 1250-78. 220Google Scholar
[468] and , Algebras with nondegenerate associative symmetric forms permitting composition. Comm. Algebra 9 (1981), 1233-61. 281Google Scholar
[469] and , Convex combinations of unitary operators in von Neumann algebras. J. Funct. Anal. 66 (1986), 365-80. 533Google Scholar
[472] , Über einige Lösungen der Funktionalgleichung Ψ(x)Ψ(y) = Ψ(xy). Acta Math. 41 (1918), 271-84. 221Google Scholar
[473] , The classification of real division algebras. Amer. Math. Monthly 75 (1968), 366-8. 199Google Scholar
[474] , Characterizations of C*-algebras. Bull. Amer. Math. Soc. 74 (1968), 538-40. 157, 158Google Scholar
[475] , Unbounded normal operators on Banach spaces. Trans. Amer. Math. Soc. 133 (1968), 385-14. 157Google Scholar
[476] , Characterizations of C*-algebras II. Trans. Amer. Math. Soc. 148 (1970), 577-88. 159Google Scholar
[480] and , Characterization of isometries between C*-algebras. J. London Math. Soc. 5 (1972), 755-61. xv, xviii, 120, 130, 131Google Scholar
[481] , , and , Non-commutative Jordan C*-algebras. Manuscripta Math. 37 (1982), 87-120. xiii, xx, 356, 392, 422, 445Google Scholar
[482] , , and , Type I factor representations of non-commutative JB*-algebras. Proc. London Math. Soc. 48 (1984), 428-44. xx, 356, 421, 422, 447Google Scholar
[485] , On the axiomatic definition of real JB*-triples. Math. Nachr. 256 (2003), 100-6. 534, 535Google Scholar
[486] , Positive definite hermitian mappings associated to tripotent elements. Expo. Math. (to appear). 498, 528, 529
[487] , Other nonassociative algebras. In The concise handbook of algebra (eds. and ), pp. 343-7, Dordrecht, Kluwer Academic, 2002. 278
[488] , , and , Full subalgebras of Jordan-Banach algebras and algebra norms on JB*-algebras. Proc. Amer. Math. Soc. 121 (1994), 1133-43. 448, 593, 595, 596, 665Google Scholar
[489] , , , and , Prime Jordan-Banach algebras with nonzero socle. Comm. Algebra 20 (1992), 17-53. xxiGoogle Scholar
[490] , A characterization of the radical of an algebra. Bull. Amer. Math. Soc. 48 (1942), 128-32. 445Google Scholar
[493] , On the spectral radius in Banach algebras with involution. Bull. London Math. Soc. 2 (1970), 327-34. xx, 605, 635Google Scholar
[494] , Banach algebras with involution. Manuscripta Math. 6 (1972), 245-90. 157, 632, 635Google Scholar
[495] and , Banach Jordan *-algebras. Proc. London Math. Soc. 41 (1980), 21-44. 493, 633, 634Google Scholar
[496] and , The C*-algebra generated by two projections. Math. Scand. 65 (1989), 278-90. 562Google Scholar
[497] , Anneaux a puissances commutatives et anneaux flexibles. C. R. Acad. Sci. Paris 230 (1950), 804-6. 172Google Scholar
[498] , A counterexample to Wood's conjecture. J. Math. Anal. Appl. 317 (2006), 659-67. 339Google Scholar
[499] , A short proof of Johnson's uniqueness-of-norm theorem. Bull. London Math. Soc. 21 (1989), 487-8. 565, 592Google Scholar
[500] , The singular elements of a Banach algebra. Duke Math. J. 14 (1947), 1063-77. 37Google Scholar
[501] , The uniqueness of norm problem in Banach algebras. Ann. of Math. 51 (1950), 615-28. 37, 448, 605, 633Google Scholar
[502] , On spectral permanence for certain Banach algebras. Proc. Amer. Math. Soc. 4 (1953), 191-6. 53, 595Google Scholar
[503] , An elementary proof of a fundamental theorem in the theory of Banach algebras. Michigan Math. J. 5 (1958), 75-8. 36Google Scholar
[504] , Sur certains systemes singuliers d'équations intégrales. Ann. Sci. Ecole Norm. Sup. 28 (1911), 33-62. 69Google Scholar
[506] , A note on the unit ball in C*-algebras. Bull. London Math. Soc. 6 (1974), 333-5. 157Google Scholar
[507] and , Positive projections with contractive complements on Jordan algebras. J. London Math. Soc. 25 (1982), 365-74. 358Google Scholar
[508] , Eight-dimensional real absolute valued algebras with left unit whose automorphism group is trivial. Int. J. Math. Math. Sci. 70 (2003), 4447-54. 246Google Scholar
[509] and , Absolut evalued algebras with in volution. Comm. Algebra 37 (2009), 1151-9. 246Google Scholar
[510] , Algebras estelares de Banach con elemento unidad. In Actas de las I Jornadas Matemáticas Hispano-Lusitanas, pp. 189-210, Madrid, 1973. 157
[511] , Derivaciones en aílgebras normadas y commutatividad. Cuadernos del Dpto. de Estadística Matematica (Granada) 2 (1975), 51-68. 448Google Scholar
[512] , Teorema de estructura de los Jordan-isomorfismos de las C*-algebras. Rev. Mat. Hispano-Americana 37 (1977), 114-28. 392Google Scholar
[513] , Rango numeírico y derivaciones cerradas delas aílgebras de Banach. In V Jornadas Luso-Espanholas de Matemaíticas, pp. 179-200, Aveiro, 1978. 667, 668, 669
[514] , A Vidav-Palmer theorem for Jordan C*-algebras and related topics. J. London Math. Soc. 22(1980), 318-32. 157, 159, 311, 344, 356, 391, 422, 447Google Scholar
[515] , Non-associative normed algebras spanned by hermitian elements. Proc. London Math. Soc. 47 (1983), 258-74. 157, 172, 216, 218, 219, 356, 358Google Scholar
[516] , The uniqueness of the complete algebra norm topology in complete normed nonassociative algebras. J. Funct. Anal. 60 (1985), 1-15. xx, 274, 445, 565, 593, 597, 601Google Scholar
[517] , Mutations of C*-algebras and quasiassociative JB*-algebras. Collectanea Math. 38 (1987), 131-5. 635Google Scholar
[519] , Automatic continuity with application to C*-algebras. Math. Proc. Camb. Phil. Soc. 107 (1990), 345-7. 565, 595, 596Google Scholar
[520] , An approach to Jordan-Banach algebras from the theory of nonassociative complete normed algebras. In [749], pp. 1-57. 216, 392, 422, 493, 597, 599
[521] , One-sided division absolute valued algebras. Publ. Mat. 36 (1992), 925-54. 201, 219, 221, 245, 246, 247, 274Google Scholar
[522] , Closed derivations of Banach algebras. In Homenaje a Pablo Bobillo Guerrero, pp. 21-8, Univ. Granada, Granada, 1992. xx, 665
[523] , Primitive nonassociative normed algebras and extended centroid. In [734], pp. 233-43. 426
[524] , Absolute valued algebras of degree two. In [733], pp. 350-6. 278, 279
[525] , Jordan structures in analysis. In [764], pp. 97-186. xviii, xxii, 222, 449
[526] , Continuity of densely valued homomorphisms into H*-algebras. Quart. J. Math. Oxford 46 (1995), 107-18. xxi, 222, 599Google Scholar
[527] , Multiplicative characterization of Hilbert spaces and other interesting classes of Banach spaces. In Encuentro de anaílisis matemaítico, homenaje al profesor B. Rodríguez-Salinas (eds. , , , and ), Rev. Mat. Univ. Complutense Madrid9 (1996), 149-89. 216, 310, 312
[528] , Isometries and Jordan isomorphisms onto C* -algebras. J. Operator Theory 40 (1998), 71-85. 157Google Scholar
[529] , Continuity of homomorphisms into normed algebras without topological divisors of zéro. Rev. R. Acad. Cienc. Exactas Fis. Nat. (Esp.) 94 (2000), 505-14. xxi, 201, 244, 274, 597, 599Google Scholar
[530] , Sobre el tamaño de los conjuntos de numeros. In Actas del Encuentro de Matemaíticos Andaluces, Sevilla 2000, Volumen I, pp. 235-48, Secretariado de Publicaciones de la Universidad de Sevilla, Sevilla, 2001. 245
[531] , A numerical range characterization of uniformly smooth Banach spaces. Proc. Amer. Math. Soc. 129 (2001), 815-21. 310, 313Google Scholar
[532] , Banach-Jordan algebra. In [741], pp. 55-7. xxi
[533] , Absolute-valued algebras, and absolute-valuable Banach spaces. In Advanced courses of mathematical analysis I, Proceedings of the First International School Caídiz, Spain 22-27 September 2002 (eds. and ), pp. 99-155, World Scientific, 2004. 200, 222, 246, 247, 249, 274, 279, 391
[534] , Numerical ranges of uniformly continuous functions on the unit sphere of a Banach space. J. Math. Anal. Appl. 297 (2004), 472-6. 117, 314Google Scholar
[535] , On Urbanik's axioms for absolute valued algebras with involution. Comm. Algebra 36 (2008), 2588-92. 246Google Scholar
[536] , Banach space characterizations of unitaries: a survey. J. Math. Anal. Appl. 369 (2010), 168-78. 422, 535Google Scholar
[537] , Approximately norm-unital products on C*-algebras, and a nonassociative Gelfand-Naimark theorem. J. Algebra 347 (2011), 224-46. 422, 423Google Scholar
[538] , , and , Extending the norm from Jordan-Banach algebras of hermitian elements to their associative envelopes. Comm. Algebra 22 (1994), 1435-55. xxiGoogle Scholar
[539] and , Continuity of homomorphisms and derivations on Banach algebras with an involution. In Function spaces; Proceedings of the Third Conference on Function Spaces, May 19-23, 1998, Southern Illinois University at Edwardsville (ed. ), pp. 289-98, Contemp. Math. 232, Amer. Math. Soc., Providence, RI, 1999. xxi
[540] and , A non-associative Rickart's dense-range-homomorphism theorem. Quart. J. Math. Oxford 54 (2003), 367-76. 37, 493Google Scholar
[541] , Advances in the theory of unitary rank and regular approximation. Ann. of Math. 128 (1988), 153-72. 533Google Scholar
[542] , The Lie algebra of a Banach space. In Banach spaces, pp. 129-57, Lecture Notes in Math. 1166, 1985. 116
[544] and , A note on the joint spectral radius. Indag. Math. 22 (1960), 379-81. xxii, 596, 632Google Scholar
[545] , A short proof of the Chevalley-Jacobson density theorem, and a generalization. Amer. Math. Monthly 85 (1978), 185-6. 446Google Scholar
[547] , Structure of JB*-triples. In [764], pp. 209-80. xviii
[548] and , A note on unitary operators In C* -algebras. Duke Math. J. 33 (1966), 413-16. 157Google Scholar
[551] , On the algebras formed by the Cayley-Dickson process. Amer. J. Math. 76 (1954), 435-46. 199Google Scholar
[552] , Noncommutative Jordan algebras of characteristic 0. Proc. Amer. Math. Soc. 6 (1955), 472-5. 172, 344Google Scholar
[555] , Über lineare, vollstetige Funktionaloperationen. Studia Math. 2 (1930), 183-96. 86Google Scholar
[556] , A remark on M. M. Day's characterization of inner-product spaces and a conjecture of L. M. Blumenthal. Proc. Amer. Math. Soc. 3 (1952), 961-4. 216, 318Google Scholar
[557] , Hilbert space methods in the theory of Lie algebras, Trans. Amer. Math. Soc. 95 (1960), 69-80. 222Google Scholar
[558] , Cartan decompositions for L*-algebras. Trans. Amer. Math. Soc. 98(1961), 334-49. 222Google Scholar
[559] , Neue Begründung der Theorie der Gruppencharaktere. Sitzungsberichte der Preußischen Akademie der Wissenschaften 1905 Physik-Math. Klasse406-32. Reprinted In Gesammelte Abhandlungen Vol. I, pp. 143-69, Springer, Berlin, 1973. 445
[560] , Irreducible representations of operator algebras. Bull. Amer. Math. Soc. 53 (1947), 73-88. 445Google Scholar
[561] , La teoria delle algebre ed alcune questione di realta. Univ. Roma, Ist. Naz. Alta. Mat., Rend. Mat. e Appl., serie 5 13 (1954), 157-88. 200Google Scholar
[562] and , A Banach space on which there are few operators. Proc. Amer. Math. Soc. 104 (1988), 101-5. 249Google Scholar
[563] , A new proof of the noncommutative Banach-Stone theorem. Quantum probability, pp. 363-75, Banach Center Publ. 73, Polish Acad. Sci. Inst. Math., Warsaw, 2006. 131
[564] , On the extension of maximal ideals. C. R. (Doklady) Acad. Sci. URSS 29 (1940), 83-4. 37, 203Google Scholar
[565] and , Symmetry in complex involutory Banach algebras. II. Duke Math. J. 37 (1970), 275-80. xx, 157, 605, 635Google Scholar
[566] , Proof of a conjecture by Kaplansky. (In Russian.) Uspekhi Mat. Nauk 11 (1956) 167-8. 448Google Scholar
[568] , On some non-associative nil-rings and algebraic algebras. Mat. Sb. 41 (83) (1957), 381-94. 277Google Scholar
[569] and Yu. , Joint spectral radius, operator semigroups, and a problem of W. Wojtynski. J. Funct. Anal. 177 (2000), 383-441. xiiiGoogle Scholar
[570] , On normed Jordan algebras which are Banach dual spaces. J. Funct. Anal. 31 (1979), 360-76. 336Google Scholar
[571] , Self-adjointness in unitary isotopes of JB*-algebras. Arch. Math. 87 (2006), 350-8. 533Google Scholar
[572] , Asymmetric decompositions of vectors In JB*-algebras. Arch. Math. (Brno) 42(2006), 159-66. 533Google Scholar
[573] , JB*-algebras of to pological stablerank. Int. J. Math. Math. Sci. 2007, Art. ID 37186, 24 pp. 533
[574] , A proof of the Russo-Dye theorem for JB*-algebras. New York J. Math. 16 (2010), 53-60. 389, 498, 533Google Scholar
[575] , Convex combinations of unitaries In JB*-algebras. New York J. Math. 17 (2011), 127-37. 533Google Scholar
[577] , Jordan automorphisms on a semisimple Banach algebra. Proc. Amer. Math. Soc. 25 (1970), 526-8. 391, 593Google Scholar
[578] , Jordan homomorphisms and derivations on semisimple Banach algebras. Proc. Amer. Math. Soc. 24 (1970), 209-14. 131Google Scholar
[579] , Thestates of a Banachalgebrageneratethedual. Proc. Edinburgh Math. Soc. 17 (1970/1971), 341-4. 115Google Scholar
[580] , The norm of a hermitian element in a Banach algebra. Proc. Amer. Math. Soc. 28 (1971), 446-50. 156, 157Google Scholar
[581] , The Banach algebra generated by a derivation. In Spectral theory of linear operators and related topics (Timisoara/Herculane, 1983), pp. 241-50, Oper. Theory Adv. Appl. 14, Birkhauser, Basel, 1984. 666
[582] and , Derivations on commutative normed algebras. Math. Ann. 129 (1955), 260-4. 391, 448Google Scholar
[583] and , On isometric reflexions in Banach spaces. Math. Physics, Analysis, Geometry 4 (1997), 212-47. 313Google Scholar
[584] , Strongly prime noncommutative Jordan algebras. (In Russian.)Trudy Inst. Mat. (Novosibirk) 16 (1989), 131-64, Issled. po Teor. Kolets i Algebr, 198-9. 565Google Scholar
[586] , Complete metric Jordan algebras. Mat. Zametki 447 (1990), 100-5. English translation: Math. Notes47 (1990), 491-4. 275Google Scholar
[590] , Real Hilbert algebras with identity. Proc. Amer. Math. Soc. 16 (1965) 440-1. xii, 220Google Scholar
[591] , On Banach algebra elements of thin numerical range. Math. Proc. Camb. Phil. Soc. 86 (1979), 71-83. 359Google Scholar
[592] , The numerical range in the second dual of a Banach algebra. Math. Proc. Camb. Phil. Soc. 89 (1981), 301-7. 115, 359Google Scholar
[593] , Sur la structure de la sphere unitaire dans l'espace de Banach. Math. Sb. 9 (1941), 545-61. 311, 313Google Scholar
[595] , Once more on algebras generated by two projections. Linear Algebra Appl. 208/209 (1994), 377-95. xix, 536, 562Google Scholar
[596] , A note on compact operators on normed linear spaces. Expo. Math. 25 (2007), 261-3. xviii, 87, 88, 91Google Scholar
[597] , A projection principle concerning biholomorphic automorphisms. Acta Sci. Math. (Szeged) 44 (1982), 99-124. 160Google Scholar
[598] , Introduction to the theory of operators. V. Metric rings, Proc. Camb. Phil. Soc. 36 (1940), 139-49. 222Google Scholar
[599] , Positive functions on C*-algebras. Proc. Amer. Math. Soc. 6, (1955), 211-16. 172Google Scholar
[600] , Applications of the theory of Boolean rings to general topology. Trans. Amer. Math. Soc. 41 (1937), 375-481. 159Google Scholar
[601] , On the Jordan structure of C*-algebras. Trans. Amer. Math. Soc. 120 (1965), 438-47. xiv, 336Google Scholar
[603] , Irreducible Jordan algebras of self-adjoint operators. Trans. Amer. Math. Soc. 130 (1968), 153-66. xivGoogle Scholar
[604] and , Uniform primeness of classical Banach Lie algebras of compact operators. Publ. Math. Debrecen 61 (2002), 325-40. xiiiGoogle Scholar
[606] , Power-associative regular real normed algebras. J. Austral. Math. Soc. 6 (1966), 193-209. xii, 216, 219Google Scholar
[607] , A counterexample to a conjecture of Albert. Notices Amer. Math. Soc., 19 (1972), A-566. 278Google Scholar
[608] , B(H) does not have the approximation property. Acta Math. 147 (1981), 89-108. 91Google Scholar
[609] , A note on the class of superreflexive almost transitive Banach spaces. Extracta Math. 23 (2008), 1-6. 318Google Scholar
[611] , The image of a derivation is contained in the radical. Ann. of Math. 128 (1988), 435-60. 391Google Scholar
[612] , Primitive ideals and derivations on noncommutative Banach algebras. Pacific J. Math. 159 (1993), 139-52. 448Google Scholar
[613] , Das algebraische Analogon zu einem Satze von Fejer. Math. Z. 2 (1918), 187-97. 116Google Scholar
[614] , An isomorphism invariant for spin factors. J. Math. Mech. 15 (1966), 1055-63. xivGoogle Scholar
[615] , On spectral properties of Lie subalgebras and on the spectral radius of subsets of a Banach algebra. (In Russian.)Spectral theory of operators and its applications, 6 (1985), 144-81. xiii, 277Google Scholar
[616] , Operator monotone functions which are defined implicitly and operator inequalities. J. Funct. Anal. 175 (2000), 330-47. 159Google Scholar
[617] , Absolute valued algebras with an involution. Fundamenta Math. 49(1961), 247-58. 201, 246, 279Google Scholar
[618] , Remarks on ordered absolute valued algebras. Colloq. Math. 11 (1963), 31-9. 246, 274Google Scholar
[619] and , Absolute valued algebras. Bull. Acad. Polon. Sci. Seír. Sci. Math. Astronom. Phys. 8 (1960), 285-6. 216Google Scholar
[620] and , Absolute valued algebras. Proc. Amer. Math. Soc. 11 (1960), 861-6. xii, xiii, 216, 217, 218, 221Google Scholar
[621] , Spectral theory for non-associative complete normed algebras and automatic continuity. J. Math. Anal. Appl. 351 (2009), 97-106. 494Google Scholar
[622] , On the subharmonicity of the spectral radius. Boll. Un. Mat. Ital. 1 (1968), 427-9. 592, 605, 634Google Scholar
[623] , Eine metrische Kennzeichnung der selbstadjungierten Operatoren. Math. Z. 66 (1956), 121-8. 156, 157, 158Google Scholar
[624] , Continuity of derivations on H*-algebras. Proc. Amer. Math. Soc. 122 (1994), 821-6. xxi, 222Google Scholar
[626] , Automatic continuity in associative and nonassociative context. Irish Math. Soc. Bulletin 46 (2001), 43-76. 592Google Scholar
[627] , Epimorphisms onto derivation algebras. Proc. Edinburgh Math. Soc. 46 (2003), 379-82. xiii, 598Google Scholar
[628] , Jordan algebras with continuous inverse. Math. Japon. 16 (1971), 115-25. 490, 496, 593Google Scholar
[629] , On the Gelfand-Neumark theorem. J. London Math. Soc. 42 (1967), 725-31. xix, 393, 423Google Scholar
[630] , Classroom notes: The scarcity of cross products on Euclidean spaces. Amer. Math. Monthly 74 (1967), 188-94. 200Google Scholar
[631] , A non-separable reflexive Banach space on which there are few operators. J. London Math. Soc. 64 (2001), 675-89. 249Google Scholar
[632] , Hermitian *-algebras which are not symmetric. J. London Math. Soc. 8 (1974), 109-12. 635Google Scholar
[633] , On commutative B*-equivalent algebras. Notices Amer. Math. Soc. (1975), Abstract 720-46-19. 632Google Scholar
[634] , The symmetric radical of an algebra with involution. Arch. Math. (Basel) 30 (1978), 83-8. 635Google Scholar
[636] , Inessential ideals in Jordan-Banach algebras. Bull. London Math. Soc. 29 (1997), 73-81. xxiGoogle Scholar
[637] , Some remarks on the Daugavet equation. Proc. Amer. Math. Soc. 115 (1992), 1047-52. 118Google Scholar
[638] , Maximal symmetry in Banach spaces. Proc. Royal Irish Acad. 82A (1982), 177-86. 339Google Scholar
[639] , Maximal algebra norms. In Trends in Banach spaces and operator theory (Memphis, TN, 2001), pp. 335-45, Contemp. Math. 321, Amer. Math. Soc., Providence, RI, 2003. 119
[640] , Absolute valued algebras. Proc. Nat. Acad. Sci. USA 39 (1953), 330-2. xii, 201, 217, 218, 221, 245, 247Google Scholar
[641] , Jordan C*-algebras. Michigan Math. J. 24 (1977), 291-302. xiv, xv, xix, xx, 344, 356, 358, 359, 388, 389Google Scholar
[642] and , A Russo Dye theorem for Jordan C*-algebras. In Functional analysis: surveys and recent results (Proc. Conf., Paderborn, 1976) (eds. and ), pp. 279-82, North-Holland Math. Stud. 27, North-Holland, Amsterdam, 1977. 344, 356, 359, 389, 498, 533
[643] and , On isometries of Jordan algebras. J. London Math. Soc. 17 (1978), 339-44. xiv, xv, 130, 319, 337, 356, 390Google Scholar
[644] , Locally pre-C*-equivalent algebras. Proc. Amer. Math. Soc. 131 (2003), 555-62. 633Google Scholar
[645] , Topological properties of homomorphisms between Banach algebras. Amer. J. Math. 76 (1954), 155-67. 633Google Scholar
[647] , Faithful *-representations of normed algebras. Pacific J. Math. 10 (1960), 345-63. 635Google Scholar
[650] , A base norm space whose cone is not 1-generating. Glasgow Math. J. 25 (1984), 35-6. 315, 696Google Scholar
[651] , Review of [650]. Zbl. Mat. 0544.46014. 315
[652] , A Vidav theorem for Banach Jordan algebras. Math. Proc. Camb. Phil. Soc. 84 (1978), 263-72. xv, 336, 356, 358Google Scholar
[653] , Equivalent norms on Banach Jordan algebras. Math. Proc. Camb. Phil. Soc. 86 (1979), 261-9. 388, 632, 633, 634Google Scholar
[654] , Hermitian operators on Banach Jordan algebras, Proc. Edinburgh Math. Soc. 22 (1979), 93-104. 130, 338, 344, 356, 390Google Scholar
[655] , Nonunital Banach Jordan algebras and C*-triple systems. Proc. Edinburgh Math. Soc. 24 (1981), 19-29. xix, 356, 388, 389, 422, 494, 498, 532Google Scholar
[656] , Inner product characterizations of classical Cayley-Dickson algebras. In [733], pp. 405-9. 221
[657] , On Hilbert spaces with unital multiplication. Proc. Amer. Math. Soc. 123 (1995), 1497-501. 220Google Scholar
[658] , A simple example of a noncommutative Arens product. Publ. Mat. 35 (1991), 475-7. 159Google Scholar
[659] , On generalized topological divisors of zero in real m-convex algebras. Studia Math. 28 (1966/1967), 241-4. 202Google Scholar
[660] , Sur les automorphismes des algèbres de Banach. C. R. Acad. Sci. Paris Ser. A-B 264 (1967), A1131-2. 391Google Scholar
[661] , Absolute zero-divisors and algebraic Jordan algebras. Siberian Math. J. 23 (1982), 841-54. 277Google Scholar
[664] , A note on the radical of a Banach algebra. Manuscripta Math. 20 (1977), 191-6. 592Google Scholar
[665] , A characterization of ternary rings of operators. Adv. Math. 48 (1983), 117-43. 527Google Scholar
[666] , Solvability of alternative nil-rings. Sibirsk. Mat. Z. 3 (1962), 368-77. 269, 276Google Scholar
[667] , Coincidence of Smiley and Kleinfeld radicals in alternative rings. Algebra Logic 8 (1969), 175-81. 446Google Scholar
[668] , Theorie der alternativen Ringe. Abh. Math. Sem. Univ. Hamburg 8 (1930), 123-47. 200Google Scholar
[669] , Alternativkörper und quadratische Systeme. Abh. Math. Sem. Univ. Hamburg 9 (1933), 395-402.Google Scholar
[670] , Structure of algebras. Revised printing, Amer. Math. Soc. Colloq. Publ. 24, American Mathematical Society, Providence, RI, 1961. 200
[671] and , Topics in Banach space theory. Grad. Texts in Math. 233, Springer, New York, 2006. 93
[672] and , Non-commutative spectral theory for affine function spaces on convexsets.Mem. Amer. Math. Soc. 6 (1976), no. 172. 494Google Scholar
[673] and , Geometry of state spaces of operator algebras. Mathematics: Theory and Applications. Birkhauser Boston, Inc., Boston, MA, 2003. xiv
[674] and , Infinite dimensional analysis. A hitchhiker's guide. Third edition. Springer, Berlin, 2006. 502
[675] , Introduction to Banach spaces and algebras. Prepared for publication and with a preface by H. Garth Dales. Oxf. Grad. Texts Math. 20, Oxford University Press, Oxford, 2011. 592
[676] , Characterizations of inner product spaces. Oper. Theory Adv. Appl. 20, Birkhauser Verlag, Basel-Boston-Stuttgart, 1986. 216
[677] and Yu. , Radicals of algebras and structural theory. (In Russian.) Contemporary Algebra ‘Nauka’, Moscow, 1979. 277
[678] and , Local multipliers of C*-algebras. Springer Monogr. Math., Springer, London, 2003. 128, 130, 131, 338
[679] and , Methods in the theory of hereditarily indecomposable Banach spaces. Mem. Amer. Math. Soc. 170 (2004), no. 806. 249
[680] and , Complex Variables.Dover Publications, 2007. 58
[681] and , Convexity theory and its applications in functional analysis. London Math. Soc. Monogr. 16, Academic Press, London, 1980. 311, 313
[682] , Propriétés spectrales des algèbres de Banach. Lecture Notes in Math. 735, Springer, Berlin, 1979. 275, 497, 592, 612, 632, 634, 635
[683] , A primer on spectral theory.Universitext, Springer, New York, 1991. 592, 597
[684] , , and , Jordan, real and Lie structures in operator algebras. Math. Appl. 418, Kluwer Academic Publishers Group, Dordrecht, 1997. xiv
[685] , Theory of linear operations. Translated from the French by F. Jellett. With comments by and . North-Holland Math. Library 38, North- Holland Publishing Co., Amsterdam, 1987. 90, 159
[686] , , and , Rings with generalized identities. Monographs Textbooks Pure Appl. Math. 196, Marcel Dekker, New York, 1996. 203
[687] , Smooth homogeneous structures in operator theory. Chapman & Hall/CRC Monogr. Surv. Pure Appl. Math. 137, Chapman & Hall/CRC, Boca Raton, FL, 2006. xiii, xxii, 222
[688] and , Lie algebras of bounded operators. Oper. Theory Adv. Appl. 120, Birkhauser Verlag, Basel, 2001. xiii
[689] , Lectures in functional analysis and operator theory. Grad. Texts in Math. 15, Springer, New York-Heidelberg, 1974. 36, 38, 52, 262, 285
[690] and , Operator algebras and their modules – an operator space approach. London Math. Soc. Monogr. New Series 30, Oxford Science Publications, The Clarendon Press, Oxford University Press, Oxford, 2004. 173, 176
[691] , , , , and (eds.), A. Adrian Albert, Collected Mathematical Papers: Associative Algebras and Riemann Matrices, Part 1. Amer. Math. Soc., Providence, RI, 1993. 671, 684
[692] , , , , and (eds.), A. Adrian Albert, Collected Mathematical Papers: Nonassociative Algebras and Miscellany, Part 2. Amer. Math. Soc., Providence, RI, 1993. 671
[693] , Entire functions.Academic Press Inc., New York, 1954. 666
[694] and , Numerical ranges of operators on normed spaces and of elements of normed algebras. London Math. Soc. Lecture Note Ser. 2, Cambridge University Press, Cambridge, 1971. xix, 114, 116, 118, 156, 157, 159, 171, 219, 358, 422
[695] and , Numerical ranges II. London Math. Soc. Lecture Note Ser. 10, Cambridge University Press, Cambridge, 1973. xix, 114, 132, 156, 157, 287, 358, 447, 666, 667 698
[696] and , Complete normed algebras. Ergeb. Math. Grenzgeb. 80, Springer, Berlin, 1973. xix, xx, 36, 37, 38, 52, 114, 157, 222, 276, 391, 445, 447, 448, 592, 596, 597, 605, 632, 633, 634, 635
[697] , Éléments de mathématique. Fasc. XXXII. Théories spectrales. Chapitre I: AlgÈBres normées. Chapitre II: Groupes localement compacts commutatifs. Actualités Scientifiques et Industrielles 1332, Hermann, Paris, 1967. 36, 52, 497
[698] , Derivations, dissipations and group actions on C*-algebras. Lecture Notes in Math. 1229, Springer, Berlin, 1986. 669
[699] and , Operator algebras and quantum statistical mechanics II. Texts Monographs Phys., Springer, New York, 1981. 245