Abelian topological groups without irreducible Banach representations

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152464We exhibit abelian topological groups admitting no nontrivial strongly continuous irreducible representations in Banach spaces. Among them are some abelian Banach-Lie groups and some monothetic subgroups of the unitary group of a separable Hilbert space.Plain LaTeX, 9 pagesFunctional AnalysisOperator Algebras43A65, 22A25Abelian topological groups without irreducible Banach representationstext