Ball Proximinal Spaces

被引：0
|
作者：
Indumathi, V. [1 ]
Lalithambigai, S. [1 ]
机构：
[1] Pondicherry Univ, Dept Math, Pondicherry 605014, India
来源：
JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 02期
关键词：
Proximinal; ball proximinal; strongly ball proximinal; BANACH-SPACES; SUBSPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of ball proximinality and the strong ball proximinality were recently introduced in [2]. We prove that spaces with strong 11/2 property are ball proximinal and in particular M-ideals are ball proximinal. We show that the problem of ball proximinality of hyperplanes is related to the problem of proximinality of certain convex sets determined by them.
引用
收藏
页码：353 / 366
页数：14
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