Transitive spaces of operators

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dc.creatorDavidson, K. R.
dc.creatorMarcoux, L. W.
dc.creatorRadjavi, H.
dc.date2007-06-16
dc.date.accessioned2026-07-07T08:10:41Z
dc.date.available2026-07-07T08:10:41Z
dc.descriptionWe investigate algebraic and topological transitivity and, more generally, k-transitivity for linear spaces of operators. In finite dimensions, we determine minimal dimensions of k-transitive spaces for every k, and find relations between the degree of transitivity of a product or tensor product on the one hand and those of the factors on the other. We present counterexamples to some natural conjectures. Some infinite dimensional analogues are discussed. A simple proof is given of Arveson's result on the weak-operator density of transitive spaces that are masa bimodules.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0706.2449
dc.identifierhttp://arxiv.org/abs/0706.2449
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131892
dc.subjectOperator Algebras
dc.subject15A04; 47A15; 47A16; 47L05
dc.titleTransitive spaces of operators
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