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Smoothness and the asymptotic-norming properties of Banach spaces

Published online by Cambridge University Press:  17 April 2009

Zhibao Hu  and
Bor-Luh Lin
Zhibao Hu
Affiliation:
Department of MathematicsUniversity of IowaIowa City IA 52242United States of America
Bor-Luh Lin
Affiliation:
Department of MathematicsUniversity of IowaIowa City IA 52242United States of America
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Abstract

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We study some smoothness properties of a Banach space X that are related to the weak* asymptotic-norming properties of the dual space X*. These properties imply that X is an Asplund space and are related to the duality mapping of X.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 45 , Issue 2 , April 1992 , pp. 285 - 296
Copyright
Copyright © Australian Mathematical Society 1992

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