Semisimple Banach algebras generated by compact groups of operators on a Banach space

DOI10.1016/j.jmaa.2006.01.073zbMath1110.46034OpenAlexW2013508027MaRDI QIDQ854054

Armando R. Villena, José E. Galé

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.073

zbMATH Keywords

compact groupsunitary representations of groupssemisimple Banach algebras

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) General theory of topological algebras (46H05)

Cites Work

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• The semisimplicity of an algebra generated by an isometric operator
• Semisimple Banach algebras generated by strongly continuous representations of locally compact abelian groups
• Invariant functionals and the uniqueness of invariant norms
• Completeness of eigenvectors of group representations of operators whose Arveson spectrum is scattered
• The Banach Algebra Generated by a Hermitian Operator