Refinements of spectral resolutions and modelling of operators in II$_1$ factors

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dc.creatorMassey, Pedro G.
dc.date2006-05-02
dc.date.accessioned2026-07-07T07:13:51Z
dc.date.available2026-07-07T07:13:51Z
dc.descriptionWe study refinements between spectral resolutions in an arbitrary II$_1$ factor $\M$ and obtain diffuse (maximal) refinements of spectral resolutions. We construct models of operators with respect to diffuse spectral resolutions. As an application we obtain new characterizations of sub-majorization and spectral preorder between positive operators in $\M$ and new versions of some known inequalities involving these preorders.
dc.identifierhttps://arxiv.org/abs/math/0605070
dc.identifierhttp://arxiv.org/abs/math/0605070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112633
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject46L51; 47A63
dc.titleRefinements of spectral resolutions and modelling of operators in II$_1$ factors
dc.typetext

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