| τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES |
| |
| 作者姓名： | H. Mazaheri |
| |
| 作者单位： | Yazd University, Iran |
| |
| 摘 要： | The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined 3 - 7], andas a counterpart to best approximation in normed linear spaces, best coapprozimation was introduced by Franchetti and Furi^1]. In this research, we shall define τ-Chebyshev subspaces and τ-cochebyshev subspaces of a Banach space, in which the property τ is compact or weakly-compact, respectively. A set of necessary and sufficient theorems under which a subspace is τ-Chebyshev is defined.
|
| 关 键 词： | 最佳逼近 最佳联合逼近 τ-Chebyshev子空间 τ-cochebyshev子空间 数学分析 |
| 收稿时间： | 2005-10-30 |
τ-Chebyshev and τ-cochebyshev subpsaces of Banach spaces-cochebyshev subpsaces of Banach spaces |
| |
| H. Mazaheri.τ-Chebyshev and τ-cochebyshev subpsaces of Banach spaces-cochebyshev subpsaces of Banach spaces[J].Analysis in Theory and Applications,2006,22(2):141-145. |
| |
| Authors: | H Mazaheri |
| |
| Institution: | 1. Department of Mathematics, Yazd University, Yazd, Iran
|
| |
| Abstract: | The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined 3–7], and as a counterpart to best approximation
in normed linear spaces, best coapproximation was introduced by Franchetti and Furi1]. In this research, we shall define
τ-Chebyshev subspaces and τ-cochebyshev subspaces of a Banach space, in which the property τ is compact or weakly-compact,
respectively. A set of necessary and sufficient theorems under which a subspace is τ-Chebyshev is defined. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 SpringerLink 等数据库收录！ |
|
