Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-23T02:12:48.008Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterisation of weak compactness in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Warren B. Moors
Warren B. Moors
Affiliation:
Department of Mathematics, The University of Auckland, Private Bag 92019Auckland, New Zealand
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this short note we give a new characterisation of weak compactness.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 497 - 501
Copyright
Copyright © Australian Mathematical Society 1997

References

[1]Bourgain, J. and Talagrand, M., ‘Compacité Extrêmale’, Proc. Amer. Math. Soc. 80 (1980), 68–70.CrossRefGoogle Scholar
[2]Khurana, S.S., ‘Pointwise compactness on extreme points’, Proc. Amer. Math. Soc. 83 (1981), 347–348.CrossRefGoogle Scholar
[3]Moors, W.B., ‘A selection theorem for weak upper semi-continuous set-valued mappings’, Bull. Austral. Math. Soc. 53 (1996), 213–227.CrossRefGoogle Scholar
[4]Namioka, I., ‘A simplification of Khurana's proof’, (unpublished manuscript, 1981).Google Scholar
[5]Rainwater, J., ‘Weak convergence of bounded sequences’, Proc. Amer. Math. Soc. 14 (1963), p. 999.Google Scholar