Systems of $n$ subspaces and representations of $*$-algebras generated by projections

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dc.creatorMoskaleva, Yu. P.
dc.creatorSamoilenko, Yu. S.
dc.date2006-03-21
dc.date.accessioned2026-07-07T07:07:07Z
dc.date.available2026-07-07T07:07:07Z
dc.descriptionIn this paper we study a relationship between systems of $n$ subspaces and representations of $*$-algebras generated by projections. We prove that irreducible nonequivalent $*$-representations of $*$-algebras $\mathcal P_{4,com}$ generate all nonisomorphic transitive quadruples of subspaces of a finite dimensional space.
dc.description19 pp., 2 figs
dc.identifierhttps://arxiv.org/abs/math/0603503
dc.identifierhttp://arxiv.org/abs/math/0603503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110274
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject47A62; 16620
dc.titleSystems of $n$ subspaces and representations of $*$-algebras generated by projections
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