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- W2950726317 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 $f(A)Xpm Xg(B)$. Several special cases are discussed as well." @default.
- W2950726317 created "2019-06-27" @default.
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- W2950726317 date "2016-10-12" @default.
- W2950726317 modified "2023-09-27" @default.
- W2950726317 title "Unitarily invariant norm inequalities for elementary operators involving $G_{1}$ operators" @default.
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