The complete isomorphism class of an operator space

Timur Oikhberg

doi:10.1090/S0002-9939-07-08993-9

The complete isomorphism class of an operator space

Research output: Contribution to journal › Article › peer-review

Abstract

Suppose X is an infinite-dimensional operator space and n is a positive integer. We prove that for every C > 0 there exists an operator space X̃ such that the formal identity map id: X → X̃T is a complete isomorphism, I _M _n ⊗ id is an isometry, and d _cb(X,X̃) > C. This provides a non-commutative counterpart to a recent result of W. Johnson and E. Odell.

Original language	English (US)
Pages (from-to)	3943-3948
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	12
DOIs	https://doi.org/10.1090/S0002-9939-07-08993-9
State	Published - Dec 2007
Externally published	Yes

Keywords

C.B. distance
Complete isomorphism
Exact operator space

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-07-08993-9

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AB - Suppose X is an infinite-dimensional operator space and n is a positive integer. We prove that for every C > 0 there exists an operator space X̃ such that the formal identity map id: X → X̃T is a complete isomorphism, I M n ⊗ id is an isometry, and d cb(X,X̃) > C. This provides a non-commutative counterpart to a recent result of W. Johnson and E. Odell.

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KW - Exact operator space

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The complete isomorphism class of an operator space

Abstract

Keywords

ASJC Scopus subject areas

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