Banach spaces without the Kadec \(H\)-property (solution of a problem from the ``Scottish Book'') (Q1308259)
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scientific article; zbMATH DE number 1366471
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Banach spaces without the Kadec \(H\)-property (solution of a problem from the ``Scottish Book'') |
scientific article; zbMATH DE number 1366471 |
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Banach spaces without the Kadec \(H\)-property (solution of a problem from the ``Scottish Book'') (English)
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22 November 1999
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It is proved that if a separable Banach space \(X\) has not the Schur property, then there exists an equivalent strictly convex norm on \(X\) without \(H\)-property [see \textit{R. D. Mauldin} (ed.) The Scottish Book. Mathematics from the Scottish Cafe. Boston. Birkhäuser (1981; Zbl 0485.01013)].
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Banach space
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Schur property
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strictly convex norm
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