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.

引用

页码：175 / 181

页数：7

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