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 -