Characterizations of nonlinear Lie derivations of \(B(X)\) (Q369801)
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scientific article; zbMATH DE number 6209223
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Characterizations of nonlinear Lie derivations of \(B(X)\) |
scientific article; zbMATH DE number 6209223 |
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Characterizations of nonlinear Lie derivations of \(B(X)\) (English)
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19 September 2013
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Summary: Let \(X\) be an infinite dimensional Banach space and \(\Phi : B(X) \to B(X)\) be a nonlinear Lie derivation. Then \(\Phi\) is the form \(\delta + \tau\), where \(\delta\) is an additive derivation of \(B(X)\) and \(\tau\) is a map from \(B(X)\) into its center \(Z_{B(X)}\), which maps commutators into the zero.
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