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Mazur Intersection Properties for Compact and Weakly Compact Convex Sets

Published online by Cambridge University Press:  20 November 2018

Jon Vanderwerff
Jon Vanderwerff*
Affiliation:
Department of Mathematics Walla Walla College College Place, Washington 99324 U.S.A.
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Abstract

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Various authors have studied when a Banach space can be renormed so that every weakly compact convex, or less restrictively every compact convex set is an intersection of balls. We first observe that each Banach space can be renormed so that every weakly compact convex set is an intersection of balls, and then we introduce and study properties that are slightly stronger than the preceding two properties respectively.

Keywords

46B0346B2046A55
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 41 , Issue 2 , 01 June 1998 , pp. 225 - 230
Copyright
Copyright © Canadian Mathematical Society 1998

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