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.
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页码：353 / 366
页数：14
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