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AN ELEMENTARY PROOF OF JAMES’ CHARACTERISATION OF WEAK COMPACTNESS. II

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

Published online by Cambridge University Press:  26 September 2016

WARREN B. MOORS  and
SAMUEL J. WHITE
WARREN B. MOORS*
Affiliation:
Department of Mathematics, University of Auckland, Private Bag 92019 Auckland, New Zealand email [email protected]
SAMUEL J. WHITE
Affiliation:
Department of Mathematics, University of Auckland, Private Bag 92019 Auckland, New Zealand email [email protected]
*
✉ [email protected]
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Abstract

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In this paper we provide an elementary proof of James’ characterisation of weak compactness for Banach spaces whose dual ball is weak∗ sequentially compact.

Keywords

weakly compact setsJames’ theoremboundaries

MSC classification

Primary: 46B20: Geometry and structure of normed linear spaces
Secondary: 46B22: Radon-Nikodým, Kreĭn-Milman and related properties
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 95 , Issue 1 , February 2017 , pp. 133 - 137
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

References

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