On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps

Jussi Behrndt; Roland Moews; Carsten Trunk

doi:10.1007/s11785-013-0318-2

On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps

Jussi Behrndt^*, Roland Moews, Carsten Trunk

^*Korrespondierende/r Autor/-in für diese Arbeit

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm–Liouville operators with an indefinite weight function.

Originalsprache	deutsch
Seiten (von - bis)	925-936
Fachzeitschrift	Complex Analysis and Operator Theory
Jahrgang	8
DOIs	https://doi.org/10.1007/s11785-013-0318-2
Publikationsstatus	Veröffentlicht - 2014

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

Zugriff auf Dokument

10.1007/s11785-013-0318-2

Dieses zitieren

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abstract = "It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm–Liouville operators with an indefinite weight function.",

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AU - Moews, Roland

AU - Trunk, Carsten

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AB - It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm–Liouville operators with an indefinite weight function.

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DO - 10.1007/s11785-013-0318-2

M3 - Artikel

SN - 1661-8262

VL - 8

SP - 925

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JO - Complex Analysis and Operator Theory

JF - Complex Analysis and Operator Theory

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