Banach spaces with the superapproximation property (Q1819318)
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scientific article; zbMATH DE number 3992164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach spaces with the superapproximation property |
scientific article; zbMATH DE number 3992164 |
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Banach spaces with the superapproximation property (English)
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1986
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The main result of the paper under review states that every Banach space X has the superapproximation property, i.e. each compact linear operator of any Banach space into X can be approximated by linear operators with finite-dimensional range, if the following two conditions are satisfied: (1) X has the uniform approximation property. (2) Each subspace of X has the approximation property. The author conjectures (1)\(\Rightarrow (2)\).
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superapproximation property
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uniform approximation property
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0.7962404489517212
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0.793736457824707
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0.7897600531578064
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0.7882281541824341
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