$n$-Subspaces in linear and unitary spaces

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dc.creatorSamoilenko, Yu. S.
dc.creatorYakymenko, D. Y.
dc.date2008-07-14
dc.date.accessioned2026-07-07T09:50:13Z
dc.date.available2026-07-07T09:50:13Z
dc.descriptionWe study a relation between brick $n$-tuples of subspaces of a finite dimensional linear space, and irreducible $n$-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with positive coefficients, of orthogonal projections onto these subspaces equals the identity operator. We prove that brick systems of one-dimensional subspaces and the systems obtained from them by applying the Coxeter functors (in particular, all brick triples and quadruples of subspaces) can be unitarized. For each brick triple and quadruple of subspaces, we describe sets of characters that admit a unitarization.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0807.2206
dc.identifierhttp://arxiv.org/abs/0807.2206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164867
dc.subjectFunctional Analysis
dc.subjectRepresentation Theory
dc.subject16G10; 46C05; 47A15
dc.title$n$-Subspaces in linear and unitary spaces
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