Functional models of non-selfadjoint operators, strongly continuous semigroups, and matrix Muckenhoupt weights

DOI10.1070/IM2011V075N02ABEH002535zbMath1220.47057OpenAlexW2170507070MaRDI QIDQ3006336

Yu. D. Latushkin, Gennadiy Gubreev

Publication date: 10 June 2011

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2011v075n02abeh002535

zbMATH Keywords

\(C_0\)-semigroupsHilbert spaces of entire functionsfunctional modelsnon-selfadjoint operatorsmatrix Muckenhoupt weightsperturbation problem.

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Perturbation theory of linear operators (47A55) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Canonical models for contractions and nonselfadjoint linear operators (47A45) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

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Linear combinations of the Volterra dissipative operator and its adjoint operator ⋮ One-dimensional perturbations of unbounded selfadjoint operators with empty spectrum ⋮ On the theory of unconditional bases of Hilbert spaces formed by entire vector-functions ⋮ A criterion of unconditional basis property for the families of vector exponentials

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