Reflexivity in Banach lattices (Q1345837)
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scientific article; zbMATH DE number 734497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reflexivity in Banach lattices |
scientific article; zbMATH DE number 734497 |
Statements
Reflexivity in Banach lattices (English)
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17 July 1995
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We prove that a Banach lattice \(X\) is reflexive if and only if \(X\) does not contain any subspace isomorphic to \(\ell^ 1\) and \(X\) does not contain any complemented subspace isomorphic to \(c_ 0\).
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Banach lattice
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reflexive
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subspace isomorphic to \(\ell^ 1\)
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complemented subspace isomorphic to \(c_ 0\)
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