Mathematical Inequalities and Applications, ( ISI ), Volume (17), No (4), Year (2014-10) , Pages (1365-1373)

Title : ( Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces )

Authors: Sever S. Dragomir , Mohammad Sal Moslehian , Yeo Je Cho ,

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Abstract

We give some ratio and difference reverses of the Cauchy--Schwarz inequality for complex functions of self-adjoint operators in Hilbert spaces, under suitable assumptions for the involved operators. Several examples for particular functions of interest are provided as well.

Keywords

, Self, adjoint operators; reverse of the Cauchy, , Schwarz inequality; spectral representation; functions of self, adjoint operators.
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@article{paperid:1044103,
author = {Sever S. Dragomir and Sal Moslehian, Mohammad and Yeo Je Cho},
title = {Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces},
journal = {Mathematical Inequalities and Applications},
year = {2014},
volume = {17},
number = {4},
month = {October},
issn = {1331-4343},
pages = {1365--1373},
numpages = {8},
keywords = {Self-adjoint operators; reverse of the Cauchy--Schwarz inequality; spectral representation; functions of self-adjoint operators.},
}

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%0 Journal Article
%T Some Reverses of the Cauchy-Schwarz Inequality for Complex Functions of Self-adjoint Operators in Hilbert spaces
%A Sever S. Dragomir
%A Sal Moslehian, Mohammad
%A Yeo Je Cho
%J Mathematical Inequalities and Applications
%@ 1331-4343
%D 2014

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