Stable isomorphism of dual operator spaces

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dc.creatorEleftherakis, G. K.
dc.creatorPaulsen, V. I.
dc.creatorTodorov, I. G.
dc.date2008-12-14
dc.date.accessioned2026-07-07T12:12:46Z
dc.date.available2026-07-07T12:12:46Z
dc.descriptionWe prove that two dual operator spaces $X$ and $Y$ are stably isomorphic if and only if there exist completely isometric normal representations $ϕ$ and $ψ$ of $X$ and $Y$, respectively, and ternary rings of operators $M_1, M_2$ such that $ϕ(X)= [M_2^*ψ(Y)M_1]^{-w^*}$ and $ψ(Y)=[M_2ϕ(X)M_1^*].$ We prove that this is equivalent to certain canonical dual operator algebras associated with the operator spaces being stably isomorphic. We apply these operator space results to prove that certain dual operator algebras are stably isomorphic if and only if they are isomorphic. We provide examples motivated by CSL algebra theory.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0812.2639
dc.identifierhttp://arxiv.org/abs/0812.2639
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210655
dc.subjectOperator Algebras
dc.subject47L25; 46L07
dc.titleStable isomorphism of dual operator spaces
dc.typetext

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