The conference Operators, Spaces, Algebras, Modules , 2010-03-01

Title : ( Operator Variance-Covariance Inequality )

Authors: Mohammad Sal Moslehian , Lj. Arambasi c , D. Bakic ,

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Let (mathcal{X} , langle cdot,cdotrangle) be a semi-inner product module over a C^*-algebra mathcal{A} . For arbitrary n in mathbb{N}$ and x_1, cdots, x_n in mathcal{X} we study the so-called n times n Gram matrix [ langle x_i, x_j rangle] with entries in mathcal{A} , construct a non-decreasing sequence of positive matrices in M_n( mathcal{A}) which is majorized by [ langle x_i, x_j rangle] and apply it to obtain generalizations of covariance–variance inequality, an extension of the Ostrowski inequality and an improvement of the Kantorovich inequality involving operator means.


, C^*-algebra, positive element, Hilbert C^*-module, C^*-valued semi-inner product, operator inequality, norm inequality.
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author = {Sal Moslehian, Mohammad and Lj. Arambasi C and D. Bakic},
title = {Operator Variance-Covariance Inequality},
booktitle = {The conference Operators, Spaces, Algebras, Modules},
year = {2010},
location = {زاگرب},
keywords = {C^*-algebra; positive element; Hilbert C^*-module; C^*-valued semi-inner product; operator inequality; norm inequality.},


%0 Conference Proceedings
%T Operator Variance-Covariance Inequality
%A Sal Moslehian, Mohammad
%A Lj. Arambasi C
%A D. Bakic
%J The conference Operators, Spaces, Algebras, Modules
%D 2010