Unitarily invariant norm inequalities for elementary operators involving $G_1$ operators

Fuad Kittaneh, Mohammad Sal Moslehian, Mohammad Sababheh

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 te…