V. Peller

collaborators

5 papers

math.FA2025

Analytic Schur multipliers

Aleksei Aleksandrov, Vladimir Peller

We study in this paper analytic Schur multipliers on $C_{+}^{2}$ and $D^{2}$ , i.e. Schur multipliers on $R^{2}$ and $T^{2}$ that are boundary-value functions of f…

math.FA2025

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…

math.FA2025

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…

math.FA2024

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…

math.FA2024

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…