6 citations · 23 across the 26 of their papers we have counts for
4 papers · 1 filter
Functions of perturbed pairs of noncommuting contractions
Aleksei Aleksandrov, Vladimir Peller
We consider functions of pairs of noncommuting contractions on Hilbert space and study the problem for which functions we have Lipschitz type estimates in Schatten--vo…
Functions of commuting contractions under perturbation
Vladimir Peller
The purpose of the paper is to obtain estimates for differences of functions of two pairs of commuting contractions on Hilbert space. In particular, Lipschitz type estimates, Hölde…
Absolute continuity of spectral shift
Mark Malamud, Hagen Neidhardt, Vladimir Peller
In this paper we develop the method of double operator integrals to prove trace formulae for functions of contractions, dissipative operators, unitary operators and self-adjoint op…
Dissipative operators and operator Lipschitz functions
Aleksei Aleksandrov, Vladimir Peller
The purpose of this paper is to obtain an integral representation for the difference of functions of maximal dissipative operators. This representation in terms of…