The Banach space \(c_0\) (Q2732307)
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scientific article; zbMATH DE number 1623552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Banach space \(c_0\) |
scientific article; zbMATH DE number 1623552 |
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23 July 2001
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smooth non-reflexive spaces
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asymptotically flat spaces
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approximation properties
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The Banach space \(c_0\) (English)
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The paper is a survey on recent progress on properties of the Banach space \(c_0\). A sequence space characterization is given for a Banach space to be isometric to a subspace of \(c_0\) and its consequences is investigated. It is shown that \(c_0\) is minimal among sufficiently smooth non-reflexive spaces and maximal among asymptotically flat spaces. The paper also studies approximation properties for subspaces of \(c_0\). Some open problems are collected in the end of the survey.
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