On operator order and chaotic operator order for two operators (Q2370776)

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On operator order and chaotic operator order for two operators
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    On operator order and chaotic operator order for two operators (English)
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    29 June 2007
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    The author gives characterizations of the operator order \(A\geqslant B>0\) and the chaotic order \(\log A\geqslant\log B\) for positive invertible operators \(A\) and \(B\).
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    Löwner-Heinz inequality
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    operator order
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    chaotic operator order for positive and invertible operators
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    Furuta inequality
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    Douglas' majorisation and factorisation theorem
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