Spectra of elements in the range of strongly continuous unitary representations of Lie groups

DOI10.1007/S00013-012-0376-0zbMath1251.47005OpenAlexW2047069312WikidataQ115390104 ScholiaQ115390104MaRDI QIDQ438604

Jean-Martin Paoli, Mathieu Cianfarani

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s00013-012-0376-0

zbMATH Keywords

Lie groupsspectralinear operatorsstrongly continuous linear representation

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)

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral properties of continuous representations of topological groups
• Unitary representations of groups, continuity and spectrum
• 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
• A primer on spectral theory
• Dichotomy laws for the behaviour near the unit element of group representations
• L'application exponentielle dans les groupes de Lie résolubles
• Compact Lie Groups
• Some facts from descriptive set theory concerning essential spectra and applications

This page was built for publication: Spectra of elements in the range of strongly continuous unitary representations of Lie groups