An investigation of unitarily invariant norm inequalities of Löwner-Heinz type (Q2816150)

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scientific article; zbMATH DE number 6600424
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An investigation of unitarily invariant norm inequalities of Löwner-Heinz type
scientific article; zbMATH DE number 6600424

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    1 July 2016
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    Löwner-Heinz inequality
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    Heinz inequality
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    Corach-Porta-Recht inequality
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    unitarily invariant norm
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    norm inequality
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    positive operator
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    An investigation of unitarily invariant norm inequalities of Löwner-Heinz type (English)
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    There are several generalizations the of Löwner-Heinz and the arithmetic-geometric mean inequalities in various directions. In this paper, the authors extend these inequalities to unitarily invariant norms for operators on a complex Hilbert space. The standard technique of anti-symmetric tensor product and \(2\times 2\) matrices is used.
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