Title : ( REVERSE CAUCHY-SCHWARZ INEQUALITIES FOR POSITIVE C*-VALUED SESQUILINEAR FORMS )
Authors: Mohammad Sal Moslehian , LARS-ERIK PERSSON ,
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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. P´olya and G. Szeg¨o. 1.
Keywords
, C∗ -algebra, positive element, positive linear functional, Hilbert C∗ -module, C∗ -valued sesquilinear form, operator inequality, norm inequality, reverse Cauchy–Schwarz inequality.
@article{paperid:1013764,
author = {Sal Moslehian, Mohammad and LARS-ERIK PERSSON},
title = {REVERSE CAUCHY-SCHWARZ INEQUALITIES FOR POSITIVE C*-VALUED SESQUILINEAR FORMS},
journal = {Mathematical Inequalities and Applications},
year = {2009},
volume = {12},
number = {6},
month = {December},
issn = {1331-4343},
pages = {701--709},
numpages = {8},
keywords = {C∗ -algebra; positive element; positive linear functional; Hilbert C∗ -module;
C∗ -valued sesquilinear form; operator inequality; norm inequality; reverse Cauchy–Schwarz inequality.},
}
%0 Journal Article
%T REVERSE CAUCHY-SCHWARZ INEQUALITIES FOR POSITIVE C*-VALUED SESQUILINEAR FORMS
%A Sal Moslehian, Mohammad
%A LARS-ERIK PERSSON
%J Mathematical Inequalities and Applications
%@ 1331-4343
%D 2009
