65 citations · 72 across the 8 of their papers we have counts for
8 papers
Analytic Schur multipliers
Aleksei Aleksandrov, Vladimir Peller
We study in this paper analytic Schur multipliers on and , i.e. Schur multipliers on and that are boundary-value functions of f…
Functions of dissipative operators under relatively bounded and relatively trace class perturbations
Aleksei Aleksandrov, Vladimir Peller
We study the behaviour of functions of dissipative operators under relatively bounded and relatively trace class perturbation. We introduce and study the class of analytic relative…
Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions
Aleksei Aleksandrov, Vladimir Peller
We study the behaviour of functions of self-adjoint operators under relatively bounded and relatively trace class perturbation We introduce and study the class of relatively operat…
Functions of compact operators under trace class perturbations
A. B. Aleksandrov, V. V. Peller
The paper studies the problem, for which continuous functions on the real line , the difference of the functions of self-adjoint operators and wit…
Triangular projection on , as approaches 1
A. B. Aleksandrov, V. V. Peller
This is a continuation of our recent paper. We continue studying properties of the triangular projection on the space of matrices. We establish sharp e…
Triangular projection on and related inequalities
Aleksei Aleksandrov, Vladimir Peller
In this paper we study properties of the triangular projection on the space of matrices. The projection annihilates the entries of an…
Operator Lipschitz functions (English translation)
Alexei Aleksandrov, Vladimir Peller
The purpose of this survey is a comprehensive study of operator Lip\-schitz functions. A continuous function on the real line os called operator Lipschitz if $\|f(A)…
Operator Lipschitz Functions
Aleksei Aleksandrov, Vladimir Peller
The purpose of this survey article is a comprehensive study of operator Lipschitz functions. A continuous function on the real line is called operator Lipschitz if $…