TY - CHAP

T1 - Mathematical Heritage of Sergey Naboko

T2 - Functional Models of Non-Self-Adjoint Operators

AU - Kiselev, Alexander V.

AU - Ryzhov, Vladimir

PY - 2023/4/21

Y1 - 2023/4/21

N2 - The paper surveys the area of functional models for dissipative and non-dissipative operators, and in particular the contributions made in this area by Sergey Naboko, to include: an explicit model construction, spectral analysis of the absolutely continuous subspace, the functional model approach to the scattering theory, and the work on the singular spectral subspace. We note that functional models for non-self-adjoint operators were a favourite brainchild of Sergey’s, which he devoted his time to for over 45 years of his illustrious research career.

AB - The paper surveys the area of functional models for dissipative and non-dissipative operators, and in particular the contributions made in this area by Sergey Naboko, to include: an explicit model construction, spectral analysis of the absolutely continuous subspace, the functional model approach to the scattering theory, and the work on the singular spectral subspace. We note that functional models for non-self-adjoint operators were a favourite brainchild of Sergey’s, which he devoted his time to for over 45 years of his illustrious research career.

KW - Functional models

KW - Non-self-adjoint operators

KW - Scattering theory

UR - http://www.scopus.com/inward/record.url?scp=85172479310&partnerID=8YFLogxK

U2 - 10.1007/978-3-031-31139-0_3

DO - 10.1007/978-3-031-31139-0_3

M3 - Chapter or section

AN - SCOPUS:85172479310

SN - 9783031311383

T3 - Operator Theory: Advances and Applications

SP - 27

EP - 42

BT - From Complex Analysis to Operator Theory

A2 - Brown, M.

PB - Birkhäuser

CY - Cham, Switzerland

ER -