Containing \(l_ 1\) or \(c_ 0\) and best approximation (Q1191300)
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scientific article; zbMATH DE number 59731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Containing \(l_ 1\) or \(c_ 0\) and best approximation |
scientific article; zbMATH DE number 59731 |
Statements
Containing \(l_ 1\) or \(c_ 0\) and best approximation (English)
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27 September 1992
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In this paper the sufficient conditions,for a Banach space X to contain or exclude \(c_ 0\) or \(l_ 1\) , in terms of the sets of best approximants in X for the element of the bidual space are obtained.For this purpose the \(I(t)\)-property (\(0<=t<=2\)) of the space X in its bidual is systematic used.
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sets of best approximants
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