On ω-Chebyshev subspaces in Banach spaces

被引：1

作者：

Shams, Maram ^{[1
]}

Mazaheri, Hamid ^{[1
]}

Vaezpour, Sayed Mansour ^{[1
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 03期

关键词：

omega-Chebyshev subspaces; orthogonality; proximinal subspaces; Chebyshev subspaces;

D O I：

10.4134/BKMS.2008.45.3.601

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce and discuss the concept of omega-Chebyshev subspaces in Banach spaces. The concept of quasi Chebyshev in Banach space is defined. We show that omega-Chebyshevity of subspaces are a new class in approximation theory. In this paper, also we consider orthogonality in normed spaces.

引用

页码：601 / 606

页数：6

共 50 条

[21] ON FINITE DIMENSIONAL SUBSPACES OF BANACH SPACES
LAZAR, A
ZIPPIN, M
ISRAEL JOURNAL OF MATHEMATICS, 1965, 3 (03) : 147 - &
[22] SUBSPACES OF BANACH SPACES WITH BIG SLICES
Becerra Guerrero, Julio
Lopez-Perez, Gines
Rueda Zoca, Abraham
BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2016, 10 (04): : 771 - 782
[23] Orthogonally complemented subspaces in Banach spaces
Hudzik, Henryk
Wang, Yuwen
Sha, Ruli
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 779 - 790
[24] Complemented subspaces of products of Banach spaces
Chigogidze, A
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (10) : 2959 - 2963
[25] BALL REMOTAL SUBSPACES OF BANACH SPACES
Bandyopadhyay, Pradipta
Lin, Bor-Luh
Rao, T. S. S. R. K.
COLLOQUIUM MATHEMATICUM, 2009, 114 (01) : 119 - 133
[26] Orthogonally complemented subspaces in Banach spaces
Hudzik, Henryk
Wang, Yuwen
Sha, Ruli
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E1701 - E1711
[27] On Weak*-Extensible Subspaces of Banach Spaces
Martinez-Cervantes, G.
Rodriguez, J.
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (02)
[28] τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES
H.Mazaheri
Analysis in Theory and Applications, 2006, (02) : 141 - 145
[29] Banach spaces of polynomials as "large" subspaces of l∞-spaces
Brudnyi, Alexander
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (04) : 1285 - 1290
[30] HB-subspaces and Godun sets of subspaces in Banach spaces
Oja, E
MATHEMATIKA, 1997, 44 (87) : 120 - 132

← 1 2 3 4 5 →