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math.FA2019
Schur multipliers of Schatten--von Neumann classes
Aleksei Aleksandrov, Vladimir Peller
We study in this paper properties of Schur multipliers of Schatten von Neumann classes . We prove that for , Schur multipliers of are ne…
math.FA2019
Functions of noncommuting operators under perturbation of class
Aleksei Aleksandrov, Vladimir Peller
In this article we prove that for , there exist pairs of self-adjoint operators and and a function on the real line in the homogeneous Besov class…
math.FA2019
On a trace formula for functions of noncommuting operators
A. B. Aleksandrov, V. V. Peller, D. S. Potapov
The main result of the paper is that the Lifshits--Krein trace formula cannot be generalized to the case of functions of noncommuting self-adjoint operators. To prove this, we show…