Theory of Operator Spaces
DOI10.1090/chel/386zbMath1492.46001OpenAlexW4226411314MaRDI QIDQ5079667
Zhong-Jin Ruan, Edward G. Effros
Publication date: 27 May 2022
Full work available at URL: https://doi.org/10.1090/chel/386
operator spaceHaagerup tensor productquantizationtensor productapproximation propertyexactnessoperator systemnon-selfadjoint operator algebraslocal reflexivitynuclearityGelfand-Naimark theoremnon-commutative harmonic analysisabsolutely summing mappingscompletely bounded linear mappingArveson-Wittstock generalization of the Hahn-Banach theoremcompletely integral mappingcompletely nuclear mappingPaulsen-Wittstock decomposition theorem for complete contractionsrepresentation theorem of Ruanoperator space version of the Dvoretzky-Rogers theorem on unconditional summability
Spaces of operators; tensor products; approximation properties (46B28) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Tensor products in functional analysis (46M05)
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