Generalized Heisenberg groups and Shtern's question

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Let H(X) be the generalized Heisenberg group induced by a normed space X. We prove that X is a relatively minimal subgroup of H(X). We show that the group $G:=H(L_4[0,1])$ is reflexively representable but weakly continuous unitary representations of G in Hilbert spaces do not separate points of G. This answers a question of A. Shtern.
7 pages

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Functional Analysis, General Topology, 43A60; 22A05

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http://salesiana.dossiersoluciones.com/handle/123456789/73128

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411137
 http://arxiv.org/abs/math/0411137

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arXiv