@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.}, }