Invariant subspaces of Voiculescu's circular operator

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dc.creatorDykema, Ken
dc.creatorHaagerup, Uffe
dc.date2000-04-17
dc.date.accessioned2026-07-07T04:34:46Z
dc.date.available2026-07-07T04:34:46Z
dc.descriptionWe show that Voiculescu's circular operator and, more generally, each circular free Poisson operator has a continuous family of invariant subspaces relative to the von Neumann algebra it generates. The proof relies on upper triangular random matrix models and consequent realizations of these operators as upper triangular matrices of free random variables.
dc.description45 pages
dc.identifierhttps://arxiv.org/abs/math/0004104
dc.identifierhttp://arxiv.org/abs/math/0004104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59032
dc.subjectOperator Algebras
dc.subject46L54, 47A15, 47C15
dc.titleInvariant subspaces of Voiculescu's circular operator
dc.typetext

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