16 citations · 31 across the 6 of their papers we have counts for
8 papers
Dominant sets for model spaces in several variables
Aleksei B. Aleksandrov, Evgueni Doubtsov
Let be an inner function in , where denotes the open unit ball of , . We construct dominan…
Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals
Alexei Aleksandrov, Vladimir Peller
We study Schatten--von Neumann properties of multiple operator integrals with integrands in the Haagerup tensor product of spaces. We obtain sharp, best possible estimat…
Functions of almost commuting operators and an extension of the Helton-Howe trace formula
Alexei Aleksandrov, Vladimir Peller
Let and be almost commuting (i.e., the commutator belongs to trace class) self-adjoint operators. We construct a functional calculus for functions…
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}…
Operator and commutator moduli of continuity for normal operators
Aleksei Aleksandrov, Vladimir Peller
We study in this paper properties of functions of perturbed normal operators and develop earlier results obtained in \cite{APPS2}. We study operator Lipschitz and commutator Lipsch…
Functions of normal operators under perturbations
Alexei Aleksandrov, Vladimir Peller, Denis Potapov +1
In \cite{Pe1}, \cite{Pe2}, \cite{AP1}, \cite{AP2}, and \cite{AP3} sharp estimates for were obtained for self-adjoint operators and and for various classes of fu…