Espaces de Banach superstables, distances stables et homeomorphismes uniformes (Q792586)
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scientific article; zbMATH DE number 3853771
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Espaces de Banach superstables, distances stables et homeomorphismes uniformes |
scientific article; zbMATH DE number 3853771 |
Statements
Espaces de Banach superstables, distances stables et homeomorphismes uniformes (English)
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1983
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The superproperty associated with the notion of stable Banach spaces is investigated. The author proves \(L_ p(E)\) is superstable if and only if E is superstable. Moreover properties of Banach spaces that uniformly imbed in a superstable Banach space are studied; in particular, it is proved that such a space contains, for some real p an isomorphic copy of \(\ell_ p\).
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uniform embedding
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stable Banach spaces
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superstable
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