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.
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页码：61 / 69
页数：8
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