Stability of spectral characteristics of boundary value problems for 2× 2 Dirac type systems. Applications to the damped string
AA Lunyov, MM Malamud - Journal of Differential Equations, 2022 - Elsevier
The paper is concerned with the stability property under perturbation Q→ Q˜ of different
spectral characteristics of a boundary value problem associated in L 2 ([0, 1]; C 2) with the …
spectral characteristics of a boundary value problem associated in L 2 ([0, 1]; C 2) with the …
Szegő condition, scattering, and vibration of Krein strings
R Bessonov, S Denisov - Inventiones mathematicae, 2023 - Springer
We give a dynamical characterization of measures on the real line with finite logarithmic
integral. The general case is considered in the setting of evolution groups generated by de …
integral. The general case is considered in the setting of evolution groups generated by de …
Quasi-selfadjoint extensions of dual pairs of linear relations
G Xu, G Ren - arXiv preprint arXiv:2404.02355, 2024 - arxiv.org
This paper investigates quasi-selfadjoint extensions of dual pairs of linear relations in Hilbert
spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear …
spaces. Some properties of dual pairs of linear relations are given and an Hermitian linear …
Holomorphic Family of Dirac–Coulomb Hamiltonians in Arbitrary Dimension
J Dereziński, B Ruba - Annales Henri Poincaré, 2024 - Springer
We study massless one-dimensional Dirac–Coulomb Hamiltonians, that is, operators on the
half-line of the form D ω, λ:=-λ+ ω x-∂ x∂ x-λ-ω x. We describe their closed realizations in …
half-line of the form D ω, λ:=-λ+ ω x-∂ x∂ x-λ-ω x. We describe their closed realizations in …
Working with Sergey Naboko on Boundary Triples
BM Brown, M Marletta, I Wood - … Complex Analysis to Operator Theory: A …, 2023 - Springer
In this short article we review the contribution of Sergey Naboko to the theory of boundary
triples and outline some of its uses in applied mathematics. We also describe the benefits to …
triples and outline some of its uses in applied mathematics. We also describe the benefits to …
-Self-Adjointness Conditions for Jacobi Matrices and Schrödinger and Dirac Operators with Point Interactions
SA Aleroev, MM Malamud - Mathematical Notes, 2022 - Springer
1. INTRODUCTION Let j be the involution of complex conjugation in a Hilbert space H. A
linear operator A with dense (in H) domain dom (A) is said to be j-symmetric if jAj⊂ A∗ and j …
linear operator A with dense (in H) domain dom (A) is said to be j-symmetric if jAj⊂ A∗ and j …
Stability of spectral characteristics and Bari basis property of boundary value problems for Dirac type systems
AA Lunyov, MM Malamud - arXiv preprint arXiv:2012.11170, 2020 - arxiv.org
The paper is concerned with the stability property under perturbation $ Q\to\widetilde Q $ of
different spectral characteristics of a BVP associated in $ L^ 2 ([0, 1];\Bbb C^ 2) $ with the …
different spectral characteristics of a BVP associated in $ L^ 2 ([0, 1];\Bbb C^ 2) $ with the …