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Farthest points in W*-compact sets

Published online by Cambridge University Press:  17 April 2009

R. Deville  and
V.E. Zizler
R. Deville
Affiliation:
Equipe d'Analyse Fonctionelle, Université Paris VI, Paris, France.
V.E. Zizler
Affiliation:
Department of Mathematics, Faculty of Science, University of Alberta, Edmonton, Canada. T6G 2G1
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Abstract

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We show that while farthest points always exist in w* -compact sets in duals to Radon-Nikodym spaces, this is generally not the case in dual Radon-Nikodym spaces. We also show how to characterise weak compactness in terms of farthest points.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 38 , Issue 3 , December 1988 , pp. 433 - 439
Copyright
Copyright © Australian Mathematical Society 1988

References

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