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Balls intersection properties of Banach spaces

Published online by Cambridge University Press:  17 April 2009

Dongjian Chen ,
Zhibao Hu  and
Bor-Luh Lin
Dongjian Chen
Affiliation:
Department of MathematicsSouth China Normal UniversityGuangzhou, Guangdong, China
Zhibao Hu
Affiliation:
Department of MathematicaUniversity of Iowa Iowa CityIA 52242United States of America
Bor-Luh Lin
Affiliation:
Department of MathematicaUniversity of Iowa Iowa CityIA 52242United States of America
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 333 - 342
Copyright
Copyright © Australian Mathematical Society 1992

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