Title : ( A generalization of the Buzano inequality )
Authors: Mohammad Sal Moslehian , Maryam Khosravi , Roman Drnovsek ,
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Abstract
Using a $2\\\\\\\\times 2$ matrix trick, we present an inequality involving commutators of certain Hilbert space operators as an operator version of Buzano\\\\\\\'s inequality, which is in turn a generalization of the Cauchy--Schwarz inequality. We also state a version of the inequality in the framework of Hilbert $C^*$-modules and present a special case in the context of $C^*$-algebras.
Keywords
, Hilbert C*-module, Buzano inequality, Singular value, Operator inequality,
@article{paperid:1027719,
author = {Sal Moslehian, Mohammad and Maryam Khosravi and Roman Drnovsek},
title = {A generalization of the Buzano inequality},
journal = {Filomat},
year = {2012},
volume = {26},
number = {4},
month = {November},
issn = {0354-5180},
pages = {827--832},
numpages = {5},
keywords = {Hilbert C*-module; Buzano inequality; Singular value; Operator inequality;},
}
%0 Journal Article
%T A generalization of the Buzano inequality
%A Sal Moslehian, Mohammad
%A Maryam Khosravi
%A Roman Drnovsek
%J Filomat
%@ 0354-5180
%D 2012
