On asymptotic structure, the Szlenk index and UKK properties in Banach spaces (Q1303820)
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scientific article; zbMATH DE number 1339338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On asymptotic structure, the Szlenk index and UKK properties in Banach spaces |
scientific article; zbMATH DE number 1339338 |
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On asymptotic structure, the Szlenk index and UKK properties in Banach spaces (English)
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23 May 2000
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Let \(B\) stand for a separable Banach space with a separable dual. If the Szlenk index \(S(B,\varepsilon)\) is finite for each \(\varepsilon > 0\), then \(B\) can be renormed so as to have the weak\(^*\) uniform Kadec-Klee property.
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finite-dimensional decomposition
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asymptotic structure
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Szlenk index
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uniform Kadec-Klee property
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0.88893765
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0.8828925
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0.88095844
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0.8804155
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0.87997425
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