Title : ( Advances in Operator Cauchy--Schwarz inequalities and their reverses )
Authors: J.M. Aldaz , S. Barza , M. Fujii , Mohammad Sal Moslehian ,
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Abstract
The Cauchy-Schwarz (C-S) inequality is one of the most famous inequalities in mathematics. In this survey article, we first give a brief history of the inequality. Afterward, we present the C-S inequality for inner product spaces. Focusing on operator inequalities, we then review some significant recent developments of the C-S inequality and its reverses for Hilbert space operators and elements of Hilbert $C^*$-modules. In particular, we pay special attention to an operator Wielandt inequality.
Keywords
, History of mathematics, Operator inequality, operator geometric mean, Cauchy--Schwarz inequality
@article{paperid:1050155,
author = {J.M. Aldaz and S. Barza and M. Fujii and Sal Moslehian, Mohammad},
title = {Advances in Operator Cauchy--Schwarz inequalities and their reverses},
journal = {Annals of Functional Analysis},
year = {2015},
volume = {6},
number = {3},
month = {September},
issn = {2008-8752},
pages = {275--295},
numpages = {20},
keywords = {History of mathematics; Operator inequality; operator geometric mean; Cauchy--Schwarz inequality},
}
%0 Journal Article
%T Advances in Operator Cauchy--Schwarz inequalities and their reverses
%A J.M. Aldaz
%A S. Barza
%A M. Fujii
%A Sal Moslehian, Mohammad
%J Annals of Functional Analysis
%@ 2008-8752
%D 2015
