Triple operator integrals in Schatten--von Neumann norms and functions of perturbed noncommuting operators

Aleksei Aleksandrov, Fedor Nazarov, Vladimir Peller

We study perturbations of functions $f(A,B)$ of noncommuting self-adjoint operators $A$ and $B$ that can be defined in terms of double operator integrals. We prove that if $f$ belo…