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math.FA2015★ 4 cited
Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals
A. B. Aleksandrov, F. L. Nazarov, V. V. Peller
We define functions of noncommuting self-adjoint operators with the help of double operator integrals. We are studying the problem to find conditions on a function on ${\Bbb R}…
math.FA2015
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 of noncommuting self-adjoint operators and that can be defined in terms of double operator integrals. We prove that if belo…