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A dual characterisation of the existence of small combinations of slices

Published online by Cambridge University Press:  17 April 2009

Robert Deville
Robert Deville
Affiliation:
Equipe d'Analyse fonctionelle, Université Paris VIFRANCE.
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Abstract

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We characterise, by a property of roughness, the norms of a Banach space X such that the dual unit ball has no small combination of ω*-slices. Among separable Banach spaces, the existence of an equivalent norm for this new property of roughness characterises spaces which contain an isomorphic copy of ℓ1(N).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 1 , February 1988 , pp. 113 - 120
Copyright
Copyright © Australian Mathematical Society 1988

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