Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces (Q402315)
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scientific article; zbMATH DE number 6335054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces |
scientific article; zbMATH DE number 6335054 |
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Quantitative Hahn-Banach theorems and isometric extensions for wavelet and other Banach spaces (English)
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28 August 2014
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The author introduces several geometric constants of Banach spaces, which are then used to study quantitative versions of Hahn-Banach separation theorems and isometric extension problems for Hölder-Lipschitz mappings. Several applications, for example to non-commutative \(L^p\)-spaces and anisotropic Besov and Triebel-Lizorkin spaces, are also discussed.
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Clarkson constant
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Jacobi constant
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Dol'nikov-Pichugov constant
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mutual diameter constant
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quantitative Hahn-Banach separation theorems
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Hölder-Lipschitz mappings
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isometric extensions
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non-commutative \(L^p\)-spaces
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Besov spaces
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Triebel-Lizorkin spaces
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0.86198956
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0.8598167
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0.8598001
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