Semi-bounded unitary representations of infinite-dimensional Lie groups

Simple item page
dc.creatorNeeb, Karl-Hermann
dc.date2008-04-22
dc.date.accessioned2026-07-07T09:33:59Z
dc.date.available2026-07-07T09:33:59Z
dc.descriptionIn this note we introduce the concept of a semi-bounded unitary representations of an infinite-dimensional Lie group $G$. Semi-boundedness is defined in terms of the corresponding momentum set in the dual $\g'$ of the Lie algebra $\g$ of $G$. After dealing with some functional analytic issues concerning certain weak-$*$-locally compact subsets of dual spaces, called semi-equicontinuous, we characterize unitary representations which are bounded in the sense that their momentum set is equicontinuous, we characterize semi-bounded representations of locally convex spaces in terms of spectral measures, and we also describe a method to compute momentum sets of unitary representations of reproducing kernel Hilbert spaces of holomorphic functions.
dc.identifierhttps://arxiv.org/abs/0804.3484
dc.identifierhttp://arxiv.org/abs/0804.3484
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159330
dc.subjectRepresentation Theory
dc.subjectFunctional Analysis
dc.subject22E65; 22E45
dc.titleSemi-bounded unitary representations of infinite-dimensional Lie groups
dc.typetext

Files

Collections

arXiv