activity
20002026
most citedBoundary relations and generalized resolvents of symmetric operators

103 citations · 376 across the 44 of their papers we have counts for

collaborators

50 papers

math.FA2026

Real spectral shift functions for pairs of contractions and pairs of dissipative operators

M. M. Malamud, H. Neidhardt, V. V. Peller

Recently the authors solved a long-standing problem and showed that for an arbitrary pair of contractions on Hilbert space with trace class difference has an integrable spectral sh…

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.SP2023

On the trace formulas and completeness property of root vectors systems for Dirac type operators

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the completeness property of the system of root vectors of a boundary value problem for the following Dirac type equation $$ L y = -i B^{-1…

math.SP2021★ 4 cited

On transformation operators and Riesz basis property of root vectors system for Dirac type operators. Application to the Timoshenko beam model

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the following Dirac type equation on…

math.SP2021★ 9 cited

A Glazman-Povzner-Wienholtz Theorem on graphs

Aleksey Kostenko, Mark Malamud, Noema Nicolussi

The Glazman-Povzner-Wienholtz theorem states that the completeness of a manifold, when combined with the semiboundedness of the Schrödinger operator and suitable local regu…

math.SP2020

Stability of spectral characteristics and Bari basis property of boundary value problems for Dirac type systems

Anton A. Lunyov, Mark M. Malamud

The paper is concerned with the stability property under perturbation of different spectral characteristics of a BVP associated in with the…