65 citations · 140 across the 49 of their papers we have counts for
66 papers
Commutator estimates for functions of noncommuting self-adjoint operators
Vladimir Peller
We study properties of the calculus for self-adjoint operators with commutator in the Schaten--von Neumann class . It turns out that this…
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…
Real-valued spectral shift functions for contractions and dissipative operators
Mark M. Malamud, H. Neidhardt, Vladimir V. Peller
In recent joint papers the authors of this note solved a famous problem remained open for many years and proved that for arbitrary contractions with trace class difference there ex…
Haagerup tensor products and Schur multipliers
Aleksei B. Aleksandrov, Vladimir V. Peller
In this paper we compare various classes of Schur multipliers: classical matrix Schur multipliers, discrete Schur multipliers, Schur multipliers with respect to measures and Schur…