Non-commutative Callebaut inequality
arXiv:1112.3003 · doi:10.1016/j.laa.2011.11.024
Abstract
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.
10 pages; to appear in Linear Algebra Appl. (LAA)