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• W2533274535 abstract "We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein--Milman and the bipolar theorems in this context. We deduce a canonical correspondence between compact rectangular matrix convex sets and operator spaces. We also introduce the notion of boundary representation for an operator space, and prove the natural analog of Arveson's conjecture: every operator space is completely normed by its boundary representations. This yields a canonical construction of the triple envelope of an operator space." @default.
• W2533274535 created "2016-10-28" @default.
• W2533274535 creator A5007326745 @default.
• W2533274535 creator A5047842304 @default.
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• W2533274535 date "2016-12-13" @default.
• W2533274535 modified "2023-09-23" @default.
• W2533274535 title "Boundary representations of operator spaces, and compact rectangular matrix convex sets" @default.
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• W2533274535 doi "https://doi.org/10.14760/owp-2016-24" @default.
• W2533274535 hasPublicationYear "2016" @default.
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