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• W2964261666 abstract "In analogy with the maximal tensor product of C* -algebras, we define the “maximal” tensor product E 1 ⊗ μ E 2 of two operator spaces E 1 and E 2 and we show that it can be identified completely isometrically with the sum of the two Haagerup tensor products: E 1 ⊗ h E 2 + E 2 ⊗ h E 1 . We also study the extension to more than two factors. Let E be an n -dimensional operator space. As an application, we show that the equality E*⊗ μE = E*⊗ min E holds isometrically iff E = R n or E = C n (the row or column n -dimensional Hilbert spaces). Moreover, we show that if an operator space E is such that, for any operator space F , we have F ⊗ min E = F⊗ μ E isomorphically, then E is completely isomorphic to either a row or a column Hilbert space." @default.
• W2964261666 created "2019-07-30" @default.
• W2964261666 creator A5035197493 @default.
• W2964261666 creator A5059386236 @default.
• W2964261666 date "1999-06-01" @default.
• W2964261666 modified "2023-09-23" @default.
• W2964261666 title "The “maximal” tensor product of operator spaces" @default.
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• W2964261666 doi "https://doi.org/10.1017/s0013091500020241" @default.
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