On the range of a lie derivation on a banach algebra

DOI10.1080/00927870008826876zbMath0967.46037OpenAlexW2023912202MaRDI QIDQ4944408

M. I. Berenguer, Armando R. Villena

Publication date: 19 March 2000

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870008826876

zbMATH Keywords

Jacobson radicalnoncommutative Singer-Wermer conjecture

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Structure, classification of topological algebras (46H20) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

• Derivations on commutative normed algebras
• The image of a derivation is contained in the radical
• Centralizing mappings and derivations in prime rings
• Lie and Jordan structures in simple associative rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• Continuity of Lie derivations on Banach algebras
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