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20012022
most citedAn Interesting Class of Operators with unusual Schatten-von Neumann behavior

10 citations · 21 across the 13 of their papers we have counts for

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math.FA2022

Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation

Aleksei Aleksandrov, Vladimir Peller

For a pair of not necessarily bounded and not necessarily commuting self-adjoint operators and for a function on the Euclidean space that belongs to the in…

math.FA2022

Functons of perturbed pairs of dissipative operators

Aleksei Aleksandrov, Vladimir Peller

Let be a function in the inhomogeneous analytic Besov space . For a pair of not necessarily commuting maximal dissipative operators, we define the funct…

math.FA2021

Functions of perturbed noncommuting unbounded self-adjoint operators

Aleksei Aleksandrov, Vladimir Peller

Let be a function on in the inhomogeneous Besov space . For a pair of not necessarily bounded and not necessarily commuting sel…

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…