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ON 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:  01 August 2012

J. R. GILES
J. R. GILES*
Affiliation:
School of Mathematical and Physical Sciences, The University of Newcastle, New South Wales 2308, Australia (email: John.Giles@newcastle.edu.au)
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Abstract

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Every Banach space with separable second dual can be equivalently renormed to have weakly uniformly rotund dual. Under certain embedding conditions a Banach space with weakly uniformly rotund dual is reflexive.

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
Retraction
Information
Bulletin of the Australian Mathematical Society , Volume 92 , Issue 1 , August 2015 , e1
Copyright
© 2012 Australian Mathematical Publishing Association Inc. 

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