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Schur products and module maps on \(B({\mathcal H})\) (Q1581082)

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scientific article; zbMATH DE number 1508170
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English
Schur products and module maps on \(B({\mathcal H})\)
scientific article; zbMATH DE number 1508170

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    Schur products and module maps on \(B({\mathcal H})\) (English)
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    3 July 2001
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    The authors describe the isometries inducing a Schur product relative to some orthonormal basis. They also characterize Schur product maps as completely bounded module maps from the set of all compact operators to the set of all Hilbert space (bounded, linear) operators.
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    Schur product
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    module maps
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    completely bounded maps
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