Continuity of epimorphisms and derivations on vector-valued group algebras

DOI10.1007/S000130050044zbMath0874.46032OpenAlexW2003532281MaRDI QIDQ1359086

Michael M. Neumann, M. Victoria Velasco

Publication date: 3 August 1997

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

Full work available at URL: https://doi.org/10.1007/s000130050044

zbMATH Keywords

Fréchet algebraderivationshomomorphismslocally compact Abelian groupBochner integrable functionsconvolution algebraBeurling algebrasautomatic continuity problemvector-valued group algebrasweighted vector-valued convolution algebras

Mathematics Subject Classification ID

Automatic continuity (46H40) Spaces of vector- and operator-valued functions (46E40) Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22)

Cites Work

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• Spaces of Functions with Values in a Banach Algebra
• Epimorphisms and Derivations on L ^l (0, 1) are continuous
• Automatic Continuity: a Survey
• Automatic continuity of homomorphisms and derivations on algebras of continuous vector-valued functions
• The uniqueness of the (complete) norm topology
• Continuity of Derivations and a Problem of Kaplansky
• Continuity of Derivations on Commutative Algebras

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