Spectral properties of continuous representations of topological groups

DOI10.1007/S00013-011-0219-4zbMath1228.47041OpenAlexW2072117842MaRDI QIDQ535122

Mathieu Cianfarani, Jean-Christophe Tomasi, Jean-Martin Paoli

Publication date: 11 May 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-011-0219-4

zbMATH Keywords

locally compact Abelian groupsspectralinear operatorsrepresentations on Banach algebrasstrongly continuous linear representationsuniformly continuous representations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Groups and semigroups of linear operators (47D03) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Topological algebras of operators (46H35) Commutative Banach algebras and commutative topological algebras (46J99) Character groups and dual objects (43A40)

Related Items (2)

Unitary representations of groups, continuity and spectrum ⋮ Spectra of elements in the range of strongly continuous unitary representations of Lie groups

Cites Work

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• A spectral characterization of the uniform continuity of strongly continuous groups
• Zero-\(\sqrt 3\) and zero-2 laws for representations of locally compact abelian groups
• Topology and descriptive set theory
• The Unconditional Basic Sequence Problem
• Some facts from descriptive set theory concerning essential spectra and applications
• Principles of harmonic analysis

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