Proximinality in Subspaces of c0

被引：15
|
作者：
Godefroy, G [1 ]
Indumathi, V [1 ]
机构：
[1] Univ Paris 06, Equipe Anal, F-75252 Paris 05, France
来源：
JOURNAL OF APPROXIMATION THEORY | 1999年 / 101卷 / 02期
关键词：
D O I：
10.1006/jath.1999.3382
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We say that a normed linear space X is a R(1) space if the following holds: If Y is a closed subspace of finite codimension in X and every hyperplane containing Iis proximinal in X then Y is proximinal in X. In this paper we show that any closed subspace of c(0) is a R(1) space. (C) 1999 Academic Press.
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页码：175 / 181
页数：7
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