Non-commutative Callebaut inequality

Details Non-commutative Callebaut inequality Non-commutative Callebaut inequality

2011-12-13

arxiv.org/abs/1112.3003v1

Linear Algebra Appl. 436 (2012), no. 9, 3347-3353

Mathematics

Functional Analysis

10 pages; to appear in Linear Algebra Appl. (LAA)

Scientific paper

We present an operator version of the Callebaut inequality involving the
interpolation paths and apply it to the weighted operator geometric means. We
also establish a matrix version of the Callebaut inequality and as a
consequence obtain an inequality including the Hadamard product of matrices.

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