Derivations mapping into the radical

DOI10.1007/BF01246745zbMath0714.46038OpenAlexW2010997366MaRDI QIDQ750832

Gerard J. Murphy, Martin Mathieu

Publication date: 1991

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01246745

zbMATH Keywords

radicalbounded centralising derivationbounded derivations on non-commutative Banach algebrasKleinecke-Shirokov theoremlocal and global versionsPosner's theoremsSinger-Wermer theorem

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

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Cites Work

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• Derivations on commutative normed algebras
• The image of a derivation is contained in the radical
• On the iterates of derivations of prime rings
• On Operator Commutators
• Derivations in Prime Rings
• Continuous Derivations on Banach Algebras
• Jordan Derivations of Prime Rings