On certain identity related to Jordan \(^\ast\)-derivations (Q2786993)
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scientific article; zbMATH DE number 6545149
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On certain identity related to Jordan \(^\ast\)-derivations |
scientific article; zbMATH DE number 6545149 |
Statements
24 February 2016
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ring with involution
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prime ring
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semiprime ring
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Hilbert space
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standard operator algebra
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\(^\ast\)-derivation
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Jordan \(^\ast\)-derivation
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On certain identity related to Jordan \(^\ast\)-derivations (English)
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The aim of this note is to present some sufficient conditions, of algebraic nature, implying that an additive mapping \(D\) from a standard operator algebra into \(B(H)\) is given by \(D(A) = BA^{\ast} - AB\) for some \(B \in B(H)\). In particular, \(D\) is continuous.
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