Abelian topological groups without irreducible Banach representations

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We 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 pages

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Functional Analysis, Operator Algebras, 43A65, 22A25

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http://salesiana.dossiersoluciones.com/handle/123456789/152464

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9708004
 http://arxiv.org/abs/funct-an/9708004

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arXiv