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Phelps spaces and finite dimensional decompositions

Published online by Cambridge University Press:  17 April 2009

R. Deville ,
G. Godefroy ,
D.E.G. Hare  and
V. Zizler
R. Deville
Affiliation:
Laboratoire de Mathematiques, Université de Franclme-Comté, and Université of Paris VI, Besancon, France
G. Godefroy
Affiliation:
Equipe d'aimalyse Fonctionnelle, Université of Paris VI, Paris, France
D.E.G. Hare
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, Canada
V. Zizler
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Canada
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Abstract

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We show that if X is a separable Banach space such that X* fails the weak* convex point-of-continuity property (C*PCP), then there is a subspace Y of X such that both Y* and (X/Y)* fail C*PCP and both Y and X/Y have finite dimensional Schauder decompositions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 37 , Issue 2 , April 1988 , pp. 263 - 271
Copyright
Copyright © Australian Mathematical Society 1988

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