Linear Algebra and its Applications, ( ISI ), Volume (513), No (2), Year (2017-1) , Pages (84-95)
Title : ( Unitarily invariant norm inequalities for elementary operators involving G_{1} operators )
Authors: Fuad Kittaneh , Mohammad Sal Moslehian , Mohammad Sababheh ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this paper, motivated by perturbation theory of operators, we present some upper bounds for $|||f(A)Xg(B)+ X|||$ in terms of $|||\,|AXB|+|X|\,|||$ and $|||f(A)Xg(B)- X|||$ in terms of $|||\,|AX|+|XB|\,|||$, where $A, B$ are $G_{1}$ operators, $|||\cdot|||$ is a unitarily invariant norm and $f, g$ are certain analytic functions. Further, we find some new upper bounds for the the Schatten $2$-norm of $f(A)X\pm Xg(B)$. Several special cases are discussed as well.
