Abelian topological groups without irreducible Banach representations

Details Abelian topological groups without irreducible Banach representations Abelian topological groups without irreducible Banach representations

1997-08-26

arxiv.org/abs/funct-an/9708004v1

Mathematics

Functional Analysis

Plain LaTeX, 9 pages

Scientific paper

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.

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