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A WEAKLY UNIFORMLY ROTUND DUAL OF A BANACH SPACE

Part of: Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  10 August 2015

J. R. GILES
J. R. GILES*
Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, NSW 2308, Australia email [email protected]
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Abstract

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A nonreflexive Banach space may have a weakly uniformly rotund dual. The aim of this paper is to determine alternative characterisations and study further implications of this property in higher duals.

Keywords

Gâteaux and uniformly Gâteaux differentiableweak and weak∗ uniform rotundityrenormingsreflexivity

MSC classification

Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 46B10: Duality and reflexivity
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 457 - 462
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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