Title : ( Operator Aczel inequality )
Authors: Mohammad Sal Moslehian ,
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Abstract
We establish several operator versions of the classical Aczel inequality. One of operator versions deals with the weighted operator geometric mean and another is related to the positive sesquilinear forms. Some applications including the unital positive linear maps on $C^*$-algebras and the unitarily invariant norms on matrices are presented.
Keywords
, Aczel inequality; operator geometric mean; operator concave; operator decreasing; positive linear functional; C*, algebra
@article{paperid:1019044,
author = {Sal Moslehian, Mohammad},
title = {Operator Aczel inequality},
journal = {Linear Algebra and its Applications},
year = {2011},
volume = {434},
number = {8},
month = {March},
issn = {0024-3795},
pages = {1981--1987},
numpages = {6},
keywords = {Aczel inequality; operator geometric mean; operator concave; operator decreasing; positive linear functional; C*-algebra},
}
%0 Journal Article
%T Operator Aczel inequality
%A Sal Moslehian, Mohammad
%J Linear Algebra and its Applications
%@ 0024-3795
%D 2011
