Title : ( OPERATOR VARIANCE-COVARIANCE INEQUALITY )
Authors: Mohammad Sal Moslehian , D. Bakic , Lj. Arambasic ,
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Abstract
C-algebra, positive element, Hilbert C-module, C-valued semiinner product, operator inequality, norm inequality.
Keywords
, Let (X, h·, ·i) be a semi-inner product module over a C-algebra A. For arbitrary n 2 N and x1, · · · , xn 2 X we study the so-called n × n Gram matrix [hxi, xji] with entries in A , construct a non-decreasing sequence of positive matrices in Mn(A) which is majorized by [hxi, xji] and apply
@inproceedings{paperid:1015482,
author = {Sal Moslehian, Mohammad and D. Bakic and Lj. Arambasic},
title = {OPERATOR VARIANCE-COVARIANCE INEQUALITY},
booktitle = {OPERATOR VARIANCE-COVARIANCE INEQUALITY},
year = {2010},
location = {Zagreb},
keywords = {Let (X; h·; ·i) be a semi-inner product module over a C-algebra
A. For arbitrary n 2 N and x1; · · · ; xn 2 X we study the so-called n × n
Gram matrix [hxi; xji] with entries in A ; construct a non-decreasing sequence
of positive matrices in Mn(A) which is majorized by [hxi; xji] and apply it to
obtain generalizations of covariancevariance inequality; an extension of the Ostrowski
inequality and an improvement of the Kantorovich inequality involving
operator means.},
}
%0 Conference Proceedings
%T OPERATOR VARIANCE-COVARIANCE INEQUALITY
%A Sal Moslehian, Mohammad
%A D. Bakic
%A Lj. Arambasic
%J OPERATOR VARIANCE-COVARIANCE INEQUALITY
%D 2010
