Abelian topological groups without irreducible Banach representations
funct-an
2008-02-03 v1 Functional Analysis
Operator Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.funct-an/9708004,
title = {Abelian topological groups without irreducible Banach representations},
author = {Vladimir Pestov},
journal= {arXiv preprint arXiv:funct-an/9708004},
year = {2008}
}
Comments
Plain LaTeX, 9 pages