Central subspaces of Banach spaces

被引：13

作者：

Bandyopadhyay, P

Rao, TSSRK

机构：

[1] Indian Stat Inst, Stat Math Unit, Calcutta 700035, W Bengal, India

[2] RV Coll, Indian Stat Inst, Stat Math Unit, Bangalore 560059, Karnataka, India

来源：

JOURNAL OF APPROXIMATION THEORY | 2000年 / 103卷 / 02期

关键词：

central subspace; Chebyshev centre; generalized centre (GC); L-1-predual; proximinal subspace; Bochner L-p space;

D O I：

10.1006/jath.1999.3420

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study Banach spaces that admit weighted Chebyshev centres for finite sets. Such spaces have been extensively studied recently by Vesely using the approach of finitely intersecting balls. Following his approach we exhibit large classes of Banach spaces that have this property. Certain stability results for spaces of vector valued continuous and Bochner integrable functions are also obtained. (C) 2000 Academic Press.

引用

页码：206 / 222

页数：17

共 20 条

[1]

[Anonymous], 1977, MATH SURVEYS MONOGR

[2]

Behrends E., 1979, LECT NOTES MATH, V736

[3]

BOURGIN RD, 1983, LECT NOTES MATH, V993

[4] NAMIOKA POINTS - NORMED SPACES - APPLICATION TO ISOMETRIC THEORY OF DUALITY [J].