Some properties of prereflexive subspaces of operators (Q1392710)
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scientific article; zbMATH DE number 1180647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of prereflexive subspaces of operators |
scientific article; zbMATH DE number 1180647 |
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Some properties of prereflexive subspaces of operators (English)
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8 August 1999
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Summary: We define a notion of prereflexivity for subspaces, give several equivalent conditions of this notion and prove that if \({\mathcal S}\subseteq L(H)\) is prereflexive, then every \(\sigma\)-weakly closed subspace of \({\mathcal S}\) is prereflexive if and only if \({\mathcal S}\) has the property WP. By our result, we construct a reflexive operator \(A\) such that \(A\oplus 0\) is not prereflexive.
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prereflexive subspace
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reflexive operator
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prereflexivity
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\(\sigma\)-weakly closed subspace
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property WP
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