On a general approach to construction of a self-adjoint dilation for a dissipative operator

DOI10.1007/s10958-022-06222-yOpenAlexW4311197369MaRDI QIDQ2684727

Yu. L. Kudryashov, D. V. Tret'yakov

Publication date: 17 February 2023

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-022-06222-y

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) General theory of linear operators (47Axx) Geometric function theory (30Cxx)

Cites Work

• A function model and some problems in the spectral theory of functions
• Extensions of symmetric operators and symmetric binary relations
• The spectral projections of dissipative operators
• Non-self-adjoint extensions of a Hermitian operator and their characteristic functions
• Boundary triplets and M -functions for non-selfadjoint operators, with applications to elliptic PDEs and block operator matrices
• Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators
• Spectral theory of operator measures in Hilbert space
• On the Characteristic Operator of an Integral Equation with a Nevanlinna Measure in the Infinite-Dimensional Case
• The functional model for maximal dissipative operators (translation form): An approach in the spirit of operator knots
• Scattering theory
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