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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the strongly extreme points of convex bodies in separable Banach spaces


Authors: B. V. Godun, Bor-Luh Lin and S. L. Troyanski
Journal: Proc. Amer. Math. Soc. 114 (1992), 673-675
MSC: Primary 46B20; Secondary 52A07
MathSciNet review: 1070518
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Abstract: Every separable Banach space admits an equivalent norm such that the unit ball with respect to this norm has at most countably many strongly extreme points. Every separable nonreflexive Banach space can be renormed so that its unit ball has at most countably many weakly strongly extreme points.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1992-1070518-5
PII: S 0002-9939(1992)1070518-5
Keywords: Strongly extreme points, weakly strongly extreme points, weak*-extreme points, reflexive Banach spaces, equivalent norm
Article copyright: © Copyright 1992 American Mathematical Society