Title : ( Operator extensions of Hua s inequality )
Authors: Mohammad Sal Moslehian ,
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Abstract
We give an extension of Hua’s inequality in pre-Hilbert C∗-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 C∗-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
, Hua’s inequality; Operator inequality; Positive operator; Hilbert C∗, module; C∗, algebra; Operator convex function; Hansen–Pedersen–Jensen inequality
@article{paperid:1010942,
author = {Sal Moslehian, Mohammad},
title = {Operator extensions of Hua s inequality},
journal = {Linear Algebra and its Applications},
year = {2009},
number = {127},
month = {April},
issn = {0024-3795},
pages = {1131--1139},
numpages = {8},
keywords = {Hua’s inequality; Operator inequality; Positive operator; Hilbert C∗-module; C∗-algebra; Operator convex function; Hansen–Pedersen–Jensen inequality},
}
%0 Journal Article
%T Operator extensions of Hua s inequality
%A Sal Moslehian, Mohammad
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2009
