Operator extensions of Hua's inequality
Operator Algebras
2010-05-31 v1 Functional Analysis
Abstract
We give an extension of Hua's inequality in pre-Hilbert -modules without using convexity or the classical Hua's inequality. As a consequence, some known and new generalizations of this inequality are deduced. Providing a Jensen inequality in the content of Hilbert -modules, another extension of Hua's inequality is obtained. We also present an operator Hua's inequality, which is equivalent to operator convexity of given continuous real function.
Keywords
Cite
@article{arxiv.0810.1921,
title = {Operator extensions of Hua's inequality},
author = {Mohammad Sal Moslehian},
journal= {arXiv preprint arXiv:0810.1921},
year = {2010}
}
Comments
12 Pages, To appear in Linear Alg. Appl. (LAA)