Noncommutative versions of the Singer-Wermer conjecture with linear left \(\vartheta\)-derivations (Q960619)
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scientific article; zbMATH DE number 5485335
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noncommutative versions of the Singer-Wermer conjecture with linear left \(\vartheta\)-derivations |
scientific article; zbMATH DE number 5485335 |
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Noncommutative versions of the Singer-Wermer conjecture with linear left \(\vartheta\)-derivations (English)
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5 January 2009
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Let \(\theta\) be an inner automorphism of a Banach algebra \(A\). The authors consider linear maps \(\delta:A\to A\) satisfying \(\delta(xy) = \theta(x)\delta(y) + \theta(y)\delta(x)\) and \(\theta\delta=\delta\theta\), and show that under various conditions they have the range in the radical of \(A\).
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Banach algebra
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linear left \(\vartheta \)-derivation
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linear \(\vartheta \)-derivation
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Jacobson radical
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nil radical
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