Balls intersection properties of Banach spaces-Reference-Cited by-同舟云学术

Balls intersection properties of Banach spaces

Published:1992-04 Issue:2 Volume:45 Page:333-342
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Chen Dongjian,Hu Zhibao,Lin Bor-Luh

Abstract

Necessary and sufficient conditions for a Banach space with the Mazur intersection property to be an Asplund space are given. It is proved that Mazur intersection property is determined by the separable subspaces of the space. Corresponding problems for a space to have the ball-generated property are considered. Some comments on possible renorming so that a space having the Mazur intersection property are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Mazur's intersection property of balls for compact convex sets

2. Convex Functions, Monotone Operators and Differentiability

3. Duality in spaces of operators and smooth norms of Banach spaces;Godefroy;Illinois J. Math.,1988

4. The ball topology and its applications

5. The dual of every Asplund space admits a projectional resolution of the identity

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