On compactness of the best approximant set (Q2775687)
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scientific article; zbMATH DE number 1713962
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On compactness of the best approximant set |
scientific article; zbMATH DE number 1713962 |
Statements
12 February 2003
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Chebyshev subspace
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quasi-Chebyshev property
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quasi-strictly convex
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0.9162264
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0.91311455
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0.9118882
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On compactness of the best approximant set (English)
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A subspace \(X_0\) of a Banach space \(X\) is quasi-Chebyshev if the projection set of an arbitrary \(x\in X\) is nonempty and compact. The authors studies geometric properties that are related to the quasi-Chebyshev property. For instance, every closed linear subspace of \(X\) is quasi-Chebyshev if and only if \(X\) is reflexive and quasi-strictly convex.
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