Generalized Heisenberg groups and Shtern's question

Simple item page
dc.creatorMegrelishvili, Michael
dc.date2004-11-06
dc.date.accessioned2026-07-07T05:14:02Z
dc.date.available2026-07-07T05:14:02Z
dc.descriptionLet 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0411137
dc.identifierhttp://arxiv.org/abs/math/0411137
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73128
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.subject43A60; 22A05
dc.titleGeneralized Heisenberg groups and Shtern's question
dc.typetext

Files

Collections

arXiv