Singular spectrum near a singular point of Friedrichs model operators of absolute type

DOI10.1007/s11040-006-9008-xzbMath1151.47031OpenAlexW2073972850MaRDI QIDQ928427

Serguei I. Iakolev

Publication date: 18 June 2008

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-006-9008-x

zbMATH Keywords

linear systemeigenvalueszerosmodulus of continuitysingular pointselfadjoint operatorsanalytic functionsFriedrichs model

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Cites Work

• Uniqueness theorems for operator-valued functions with positive imaginary part, and the singular spectrum in the selfadjoint Friedrichs model
• On the singular spectrum of the Friedrichs model operators in a neighborhood of a singular point
• On the point spectrum of discrete Schrödinger operator
• Examples of Friedrichs model operators with a cluster point of eigenvalues
• The singular spectrum of the weakly perturbed multiplication operator
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