Reverse Cauchy--Schwarz inequalities for positive C*-valued sesquilinear forms
Operator Algebras
2010-05-31 v1 Functional Analysis
Abstract
We prove two new reverse Cauchy--Schwarz inequalities of additive and multiplicative types in a space equipped with a positive sesquilinear form with values in a C*-algebra. We apply our results to get some norm and integral inequalities. As a consequence, we improve a celebrated reverse Cauchy--Schwarz inequality due to G Polya and G. Szego.
Keywords
Cite
@article{arxiv.0905.4065,
title = {Reverse Cauchy--Schwarz inequalities for positive C*-valued sesquilinear forms},
author = {Mohammad Sal Moslehian and Lars-Erik Persson},
journal= {arXiv preprint arXiv:0905.4065},
year = {2010}
}
Comments
10 pages, to appear in Math. Ineq. Apl. (MIA)