Uniformly Gâteaux differentiable norms in spaces with unconditional basis (Q2752996)
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scientific article; zbMATH DE number 1666004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniformly Gâteaux differentiable norms in spaces with unconditional basis |
scientific article; zbMATH DE number 1666004 |
Statements
28 October 2001
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unconditional basis
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uniformly Gâteaux smooth norms
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uniform Eberlein compacts
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uniform rotundity in every direction
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Uniformly Gâteaux differentiable norms in spaces with unconditional basis (English)
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It is shown that a Banach space \(X\) admits an equivalent uniformly Gâteaux differentiable norm if it has an unconditional basis and \(X^*\) admits an equivalent norm which is uniformly rotund in every direction.
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