Geodesic
T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1121-1131

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
Sundaresan, K.; Kapoor, O. P. T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces. Canadian journal of mathematics, Tome 25 (1973) no. 6, pp. 1121-1131. doi: 10.4153/CJM-1973-120-7
@article{10_4153_CJM_1973_120_7,
     author = {Sundaresan, K. and Kapoor, O. P.},
     title = {T-Orthogonality and {Nonlinear} {Functionals} on {Topological} {Vector} {Spaces}},
     journal = {Canadian journal of mathematics},
     pages = {1121--1131},
     year = {1973},
     volume = {25},
     number = {6},
     doi = {10.4153/CJM-1973-120-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-120-7/}
}
TY  - JOUR
AU  - Sundaresan, K.
AU  - Kapoor, O. P.
TI  - T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
JO  - Canadian journal of mathematics
PY  - 1973
SP  - 1121
EP  - 1131
VL  - 25
IS  - 6
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-120-7/
DO  - 10.4153/CJM-1973-120-7
ID  - 10_4153_CJM_1973_120_7
ER  - 
%0 Journal Article
%A Sundaresan, K.
%A Kapoor, O. P.
%T T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
%J Canadian journal of mathematics
%D 1973
%P 1121-1131
%V 25
%N 6
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-120-7/
%R 10.4153/CJM-1973-120-7
%F 10_4153_CJM_1973_120_7

[1] 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] 2. Mizel, V. and Sundaresan, K., Representation of vector-valued nonlinear junctions, Trans. Amer. Math. Soc. 159 (1971), 11–27. Google Scholar

[3] 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] 4. Friedman, N. and Katz, M., A representation theorem for additive Junctionals, Arch. Rational Mech. Anal. 21 (1966), 49–57. Google Scholar

[5] 5. Koshi, S., On additive junctionals of measurable junction spaces, Math. J. Okayama Univ. 13 (1968), 119–127. Google Scholar

[6] 6. Dugundji, J., Topology (Allyn and Bacon, New York, 1966). Google Scholar

[7] 7. Sundaresan, K., Orthogonality and nonlinear functionals on Banach spaces, Proc. Amer. Math. Soc. 34 (1972), 187–190. Google Scholar

[8] 8. Sundaresan, K. and Woyczynski, W. A., L-orthogonally scattered measures, Pacific J. Math. 43 (1972), 785–797. Google Scholar

Cité par Sources :