Operators that are close to unitary ones and their function models. I

DOI10.1023/A:1012484515718zbMath0987.47006MaRDI QIDQ5947525

Vladimir Kapustin

Publication date: 16 October 2001

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

zbMATH Keywords

spectral analysisCauchy integrals of distributionsclose to an isometryfunction modelmodel operatorone-dimensional perturbations of a unitary operatoroperator in Hilbert spacespace of functions meromorphic inside and outside the unit disk

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Canonical models for contractions and nonselfadjoint linear operators (47A45)

Related Items (4)

Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure ⋮ Completeness and spectral synthesis of nonselfadjoint one-dimensional perturbations of selfadjoint operators ⋮ Clark model in the general situation ⋮ Nonself-adjoint operators with almost Hermitian spectrum: matrix model. I

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