On unitary representations of groups of isometries

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71542Is the topological group of all motions (including translations) of an infinite-dimensional Hilbert space $H$ isomorphic to a subgroup of the unitary group $U(H)$? This question was asked by Su Gao. We answer the question in the affirmative.4 pagesRepresentation Theory43A65, 43A35, 22D10, 54E35On unitary representations of groups of isometriestext