Non-commutative Callebaut inequality
Functional Analysis
2021-07-23 v1 Operator Algebras
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.
Cite
@article{arxiv.1112.3003,
title = {Non-commutative Callebaut inequality},
author = {M. S. Moslehian and J. S. Matharu and J. S. Aujla},
journal= {arXiv preprint arXiv:1112.3003},
year = {2021}
}
Comments
10 pages; to appear in Linear Algebra Appl. (LAA)