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Non-commutative Callebaut inequality - MaRDI portal

Non-commutative Callebaut inequality (Q417465)

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scientific article; zbMATH DE number 6034460
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Non-commutative Callebaut inequality
scientific article; zbMATH DE number 6034460

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    Non-commutative Callebaut inequality (English)
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    14 May 2012
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    The authors prove an operator version of the Callebaut inequality involving the interpolation paths and apply it to the weighted operator geometric means. They also establish a matrix version of the Callebaut inequality and use it to obtain an inequality including the Hadamard product of matrices.
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    matrix inequality
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    Hadamard product
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    tensor product
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    operator mean
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    interpolational path
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    operator weighted geometric mean
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