On the convexity of the weakly compact Chebyshev sets in Banach spaces

被引：0

作者：

Vassilis Kanellopoulos

机构：

[1] University of Athens Panepistimiopolis,Department of Mathematics

来源：

Israel Journal of Mathematics | 2000年 / 117卷

关键词：

Hilbert Space; Banach Space; Normed Linear Space; Smooth Banach Space; Smooth Point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

A sufficient condition for a Banach spaceX is given so that every weakly compact Chebyshev subset ofX is convex. For this purpose a class broader than that of smooth Banach spaces is defined. In this way a former result of A. Brøndsted and A. L. Brown is partially extended in every finite dimensional normed linear space and a known result in Hilbert spaces is proved in a different way.

引用

页码：61 / 69

页数：8

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