Local derivations and local automorphisms. (Q1428255)
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scientific article; zbMATH DE number 2056395
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local derivations and local automorphisms. |
scientific article; zbMATH DE number 2056395 |
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Local derivations and local automorphisms. (English)
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14 March 2004
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It is shown that if \({\mathcal L}\) is a completely distributive commutative subspace lattice or a \({\mathcal J}\)-subspace lattice on a complex separable Hilbert space \(H\), then the space of all bounded derivations of \(\text{alg}({\mathcal L})\) is reflexive. This means that every bounded local derivation on \(\text{alg}({\mathcal L})\) is a derivation.
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local derivation
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local automorphism
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algebraically reflexive set
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reflexive set
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