A. Aleksandrov

activity

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

collaborators

23 papers

math.FA2022

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

Aleksei Aleksandrov, Vladimir Peller

For a pair $(A, B)$ of not necessarily bounded and not necessarily commuting self-adjoint operators and for a function $f$ on the Euclidean space $R^{2}$ that belongs to the in…

math.FA2022

Functons of perturbed pairs of dissipative operators

Aleksei Aleksandrov, Vladimir Peller

Let $f$ be a function in the inhomogeneous analytic Besov space $B_{\infty, 1}^{1}$ . For a pair $(L, M)$ 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 $f$ be a function on $R^{2}$ in the inhomogeneous Besov space $B_{\infty, 1}^{1} (R^{2})$ . For a pair $(A, B)$ of not necessarily bounded and not necessarily commuting sel…

math.CV2020

Clark measures and de Branges-Rovnyak spaces in several variables

Aleksei B. Aleksandrov, Evgueni Doubtsov

Let $B_{n}$ denote the unit ball of $C^{n}$ , $n \geq 1$ , and let $D$ denote a finite product of $B_{n_{j}}$ , $j \geq 1$ . Given a non-constant holomorphic function $b: \mat…

math.FA2019

Schur multipliers of Schatten--von Neumann classes $S_{p}$

Aleksei Aleksandrov, Vladimir Peller

We study in this paper properties of Schur multipliers of Schatten von Neumann classes $S_{p}$ . We prove that for $p \leq 1$ , Schur multipliers of $S_{p}$ are ne…

math.CV2019

Clark measures on the complex sphere

Aleksei B. Aleksandrov, Evgueni Doubtsov

Let $B_{d}$ denote the unit ball of $C^{d}$ , $d \geq 1$ . Given a holomorphic function $φ : B_{d} \to B_{1}$ , we study the corresponding family $σ_{α} [φ]$ , $α \in \partial B_{1}$ , of Clark…

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

Functons of perturbed pairs of dissipative operators

Functions of perturbed noncommuting unbounded self-adjoint operators

Clark measures and de Branges-Rovnyak spaces in several variables

Schur multipliers of Schatten--von Neumann classes Sp​

Clark measures on the complex sphere

Schur multipliers of Schatten--von Neumann classes $S_{p}$