Topologically simple Banach algebras with derivation

DOI10.1017/S0004972700033414zbMath0947.46034OpenAlexW2069658608MaRDI QIDQ4265868

Volker Runde, El Hossein Illoussamen

Publication date: 31 October 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700033414

zbMATH Keywords

automatic continuitylocalisationderivationclosed ideal problemsemiprime Banach algebraSinger-Wermer conjecturetopologically simple Banach algebraample setset of denominators

Mathematics Subject Classification ID

Automatic continuity (46H40) Ideals, maximal ideals, boundaries (46J20) Radical Banach algebras (46J45)

Cites Work

• Unnamed Item
• Derivations on commutative normed algebras
• Automatic continuity of derivations and epimorphisms
• The image of a derivation is contained in the radical
• Continuity of derivations and epimorphisms on some Banach algebras
• Automatic Continuity and Topologically Simple Radical Banach Algebras
• Continuity of Derivations on Some Semiprime Banach Algebra
• Elements of Finite Closed Descent in a Banach Algebra
• Continuity of Derivations on Commutative Algebras
• Embedding the Algebra of Formal Power Series in a Banach Algebra
• Semiprime Banach Algebras