Mathematical heritage of Sergey Naboko: functional models of non-self-adjoint operators

DOI10.1007/978-3-031-31139-0_3MaRDI QIDQ6630020

Vladimir Ryzhov, Alexander V. Kiselev

Publication date: 30 October 2024

zbMATH Keywords

scattering theorynon-self-adjoint operatorsfunctional models

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of operator theory in the physical sciences (47N50) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Schrödinger operator, Schrödinger equation (35J10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Meromorphic functions of one complex variable (general theory) (30D30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators on spaces with an indefinite metric (47B50) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Operator colligations (= nodes), vessels, linear systems, characteristic functions, realizations, etc. (47A48) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Elliptic operators and their generalizations (47F10) Nonselfadjoint operators (47B28)

Cites Work

• Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure
• Functional model of a closed non-selfadjoint operator
• Singular spectrum of a non-self-adjoint operator
• A function model and some problems in the spectral theory of functions
• Passive linear stationary dynamic systems
• Absolutely continuous and singular subspaces of a nonselfadjoint operator
• Spectral analysis of the one-speed transport operator and the functional model
• Nonself-adjoint operators with almost Hermitian spectrum: Weak annihilators
• Nonself-adjoint operators with almost Hermitian spectrum: matrix model. I
• Harmonic analysis of operators on Hilbert space
• On the spectral resolution of linear non-selfadjoint operators
• Dilation theory and spectral analysis of nonselfadjoint differential operators
• THE DETERMINANT OF THE CHARACTERISTIC FUNCTION AND THE SINGULAR SPECTRUM OF A NONSELFADJOINT OPERATOR
• Spectral analysis of transport operator: Functional model approach
• The functional model for maximal dissipative operators (translation form): An approach in the spirit of operator knots
• On unitary couplings of semiunitary operators
• Asymptotic analysis of operator families and applications to resonant media
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mathematical heritage of Sergey Naboko: functional models of non-self-adjoint operators