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Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\)) - MaRDI portal

Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\)) (Q1399260)

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scientific article; zbMATH DE number 1956812
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English
Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\))
scientific article; zbMATH DE number 1956812

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    Asymptotic similarity-preserving linear maps on \(\mathcal B\)(\(\mathcal H\)) (English)
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    30 July 2003
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    The following result is proved. A bounded linear onto map on \(B(H)\) which is asymptotic similarity-preserving is a nonzero scalar multiple of either an automorphism or an anti-automor\-phism.
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    linear operator
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    similarity-preserving maps
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