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T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
Published online by Cambridge University Press: 20 November 2018
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In recent years the problem of concretely representing a class of nonlinear functionals on Banach spaces has received considerable attention. Suppose B is a Banach space equipped with an orthogonality relation ⊥ ⊂ B X B.
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- Copyright © Canadian Mathematical Society 1973
References
1.
Drewnowski, L. and Orlicz, W., On representation of orthogonally additive Junctionals, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.
17 (1969), 647–653.Google Scholar
2.
Mizel, V. and Sundaresan, K., Representation of vector-valued nonlinear junctions, Trans. Amer. Math. Soc.
159 (1971), 11–27.Google Scholar
3.
Pinsker, A. G., Sur une functionelle dans l-espace de Hilbert, Comptes Rendus (Doklady) de l'Académie des Sciences de l'USSR. XX (1938), 411–414.Google Scholar
4.
Friedman, N. and Katz, M., A representation theorem for additive Junctionals, Arch. Rational Mech. Anal.
21 (1966), 49–57.Google Scholar
5.
Koshi, S., On additive junctionals of measurable junction spaces, Math. J. Okayama Univ.
13 (1968), 119–127.Google Scholar
7.
Sundaresan, K., Orthogonality and nonlinear functionals on Banach spaces, Proc. Amer. Math. Soc.
34 (1972), 187–190.Google Scholar
8.
Sundaresan, K. and Woyczynski, W. A., L-orthogonally scattered measures, Pacific J. Math.
43 (1972), 785–797.Google Scholar
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