Balls intersection properties of Banach spaces

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 ar...

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Bibliographic Details
Published in:Bulletin of the Australian Mathematical Society 1992-04, Vol.45 (2), p.333-342
Main Authors: Chen, Dongjian, Hu, Zhibao, Lin, Bor-Luh
Format: Article
Language:English
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Summary: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.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700030197