Strictly convex normed linear spaces-Reference-Cited by-同舟云学术

Strictly convex normed linear spaces

Published:1976 Issue:2 Volume:59 Page:263-267
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Gudder S.,Strawther D.

Abstract

A new characterization of strict convexity for complex normed linear spaces in terms of duality maps is given. It is then shown that many of the latest characterizations of strict convexity follow as simple corollaries.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1976-059-02/S0002-9939-1976-0417758-4/S0002-9939-1976-0417758-4.pdf

Reference20 articles.

1. Some types of Banach spaces, Hermitian operators, and Bade functionals;Berkson, Earl;Trans. Amer. Math. Soc.,1965

2. A theorem on duality mappings in Banach spaces;Beurling, Arne;Ark. Mat.,1962

3. Multi-valued monotone nonlinear mappings and duality mappings in Banach spaces;Browder, Felix E.;Trans. Amer. Math. Soc.,1965

4. On a theorem of Beurling and Livingston;Browder, Felix E.;Canadian J. Math.,1965

5. Uniformly convex spaces;Clarkson, James A.;Trans. Amer. Math. Soc.,1936

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