Generalized Heisenberg groups and Shtern's question
Functional Analysis
2007-05-23 v1 General Topology
Abstract
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 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.
Cite
@article{arxiv.math/0411137,
title = {Generalized Heisenberg groups and Shtern's question},
author = {Michael Megrelishvili},
journal= {arXiv preprint arXiv:math/0411137},
year = {2007}
}
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7 pages