On continuity of derivations and epimorphisms on some vector-valued group algebras

DOI10.1017/S0004972700030938zbMath0894.46039MaRDI QIDQ4374801

Ramesh V. Garimella

Publication date: 16 February 1998

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

zbMATH Keywords

commutative Banach algebraderivationslocally compact Abelian groupepimorphismvector-valued group algebrasBanach algebra of all Bochner integrable functionsnonunital Banach algebra without nontrivial zero divisors

Mathematics Subject Classification ID

General theory of commutative topological algebras (46J05) Spaces of vector- and operator-valued functions (46E40) Ideals, maximal ideals, boundaries (46J20) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Cites Work

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• Prime ideals and automatic continuity problems for Banach algebras
• Spaces of Functions with Values in a Banach Algebra
• On Nilpotency of the Separating Ideal of a Derivation
• Automatic Continuity: a Survey
• Automatic Continuity and Topologically Simple Radical Banach Algebras

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