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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the strongly extreme points of convex bodies in separable Banach spaces
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by B. V. Godun, Bor-Luh Lin and S. L. Troyanski PDF
Proc. Amer. Math. Soc. 114 (1992), 673-675 Request permission

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.
References
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 673-675
  • MSC: Primary 46B20; Secondary 52A07
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1070518-5
  • MathSciNet review: 1070518