Hostname: page-component-84b7d79bbc-g7rbq Total loading time: 0 Render date: 2024-07-28T13:27:42.874Z Has data issue: false hasContentIssue false
  • English
  • Français

Linear operators which commute with translations. Part II: Applications of the representation theorems

Published online by Cambridge University Press:  09 April 2009

B. Brainerd  and
R. E. Edwards
B. Brainerd
Affiliation:
Department of MathematicsUniversity of Toronto
R. E. Edwards
Affiliation:
Department of Mathematics Institute of Advanced Studies Australian National University
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This paper comprises a number of applications of the results of Part I. We use essentially the same notation as in Part I with a few additions necessary for the problems at hand.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 3 , August 1966 , pp. 328 - 350
Copyright
Copyright © Australian Mathematical Society 1966

References

[1]Birkhoff, G., ‘Moyenne des fonctions bornées’, Colloq. Intern. C.N.R.S. (Paris). Algèbre et Théorie des Nombres, 24 (1949), 143–153.Google Scholar
[2]Birtel, F. T., ‘Banach algebras of multipliers’, Duke Math. J. 28 (1961), 203–211.Google Scholar
[3]Brainerd, B., ‘On the structure of averaging operators’, J. Math. Anal. and Applications 5(3) (1962), 347–377.CrossRefGoogle Scholar
[4]Brainerd, B., ‘Averaging operators on the ring of continuous functions on a compact space’, Aust. J. Math. 4 (1964), 293–298.CrossRefGoogle Scholar
[5]Brainerd, B., ‘On the embedding of vector lattices in F-rings’, Trans. Amer. Math. Soc. 93 (1959), 132–144.Google Scholar
[6]Brainerd, B., ‘On the normalizer of an F-Ring’, Proc. Jap. Acad. 38 (8) (1962), 438–443.Google Scholar
[7]Choda, H. and Nakamura, M., ‘Multipliers of Banach Algebras’, Proc. Jap. Acad. 38 (3) (1962), 93–94.Google Scholar
[8]Dunford, N. and Schwartz, J. T., Linear Operators Part I. Interscience, New York (1958).Google Scholar
[9]Edwards, R. E., ‘Bipositive and isometric isomorphisms of some convolution algebras’, Canadian J. Math. 17 (1965), 839–846.CrossRefGoogle Scholar
[10]Johnson, B. E., ‘An introduction to the theory of centralizers’, Proc. London Math. Soc. (3) 14 (1964), 299–320.Google Scholar
[11]Johnson, R. E., ‘The imbedding of a ring as an ideal in another ring’. Duke Math. J. 20 (1953), 569–573.CrossRefGoogle Scholar
[12]Kelley, J., ‘Averaging Operators on C∞(X)’, Illinois J. Math. 2 (1958), 214–223.Google Scholar
[13]Wells, J., ‘A note on the primes in a Banach algebra of measures’. Pac. J. Math. 12 (1962), 1139–1144.CrossRefGoogle Scholar
[14]Wendel, J. G., ‘On isometric isomorphisms of group algebras’, Pac. J. Math. 1 (1951), 305–311.Google Scholar
[15]Wendel, J. G., ‘Left centralizers and isomorphisms of group algebras’, Pac. J. Math. 2 (1952), 251–261.Google Scholar