Local derivations, automorphisms and commutativity preserving maps on \({\mathcal L}^ +({\mathcal D})\) (Q1322403)
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scientific article; zbMATH DE number 562834
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local derivations, automorphisms and commutativity preserving maps on \({\mathcal L}^ +({\mathcal D})\) |
scientific article; zbMATH DE number 562834 |
Statements
Local derivations, automorphisms and commutativity preserving maps on \({\mathcal L}^ +({\mathcal D})\) (English)
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11 July 1995
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The authors define the notions of generalized derivations, local derivations, local generalized derivations and local (*-) automorphisms of *-algebras and show that every local derivation (resp. local generalized derivation, local (*-) automorphism) of the maximal \(O^*_ p\)-algebra \({\mathcal L}^ + ({\mathcal D})\) is a derivation (resp. generalized derivation, (*-) automorphism). Further, they generalize a result of Omladi\~c concerning commutativity preserving maps.
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generalized derivations
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local derivations
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local generalized derivations
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local (*-) automorphisms of *-algebras
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maximal \(O^*_ p\)-algebra
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