2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73128Let 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 pagesFunctional AnalysisGeneral Topology43A60; 22A05Generalized Heisenberg groups and Shtern's questiontext