| τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES |
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| 引用本文： | H. Mazaheri. τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES[J]. 分析论及其应用, 2006, 22(2): 141-145. DOI: 10.1007/BF03218707 |
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| 作者姓名： | H. Mazaheri |
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| 作者单位： | Yazd University, Iran |
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| 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.
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| 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 |
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| 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. DOI: 10.1007/BF03218707 |
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| Authors: | H. Mazaheri |
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| Affiliation: | 1. Department of Mathematics, Yazd University, Yazd, Iran
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| 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 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. |
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