Proximinality and renormings: Some new examples

被引：7
|
作者：
Godefroy, Gilles [1 ]
Indumathi, V. [2 ]
机构：
[1] Univ Paris 06, Inst Math Jussieu, F-75252 Paris 05, France
[2] Pondicherry Univ, Dept Math, Pondicherry 605014, India
来源：
JOURNAL OF APPROXIMATION THEORY | 2013年 / 176卷
关键词：
Proximinal; Chebyshev; Ball-proximinal subspace; Norm attaining functionals; BANACH-SPACES; FUNCTIONALS; SUBSPACES; BALL;
D O I：
10.1016/j.jat.2013.09.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an example of a strongly Chebyshev hyperplane H in a non-reflexive Banach space X that is not Ball proximinal. We investigate Banach spaces for which the set of finite-codimensional proximinal subspaces is a lattice. (C) 2013 Elsevier Inc. All rights reserved.
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页码：118 / 128
页数：11
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