An open problem: Accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators

Jussi Behrndt

doi:10.1007/s00020-013-2065-1

An open problem: Accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators

Jussi Behrndt

Institut für Angewandte Mathematik (5040)

Publikation: Beitrag in einer Fachzeitschrift › Artikel › Begutachtung

Abstract

In this note we conjecture that the eigenvalues of singular indefinite Sturm–Liouville operators accumulate to the real axis whenever the eigenvalues of the corresponding definite Sturm–Liouville operator accumulate to the bottom of the essential spectrum from below.

Originalsprache	englisch
Seiten (von - bis)	299-301
Fachzeitschrift	Integral Equations and Operator Theory
Jahrgang	77
DOIs	https://doi.org/10.1007/s00020-013-2065-1
Publikationsstatus	Veröffentlicht - 2013

Fields of Expertise

Information, Communication & Computing

Treatment code (Nähere Zuordnung)

Basic - Fundamental (Grundlagenforschung)

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10.1007/s00020-013-2065-1

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abstract = "In this note we conjecture that the eigenvalues of singular indefinite Sturm–Liouville operators accumulate to the real axis whenever the eigenvalues of the corresponding definite Sturm–Liouville operator accumulate to the bottom of the essential spectrum from below.",

author = "Jussi Behrndt",

year = "2013",

doi = "10.1007/s00020-013-2065-1",

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AB - In this note we conjecture that the eigenvalues of singular indefinite Sturm–Liouville operators accumulate to the real axis whenever the eigenvalues of the corresponding definite Sturm–Liouville operator accumulate to the bottom of the essential spectrum from below.

U2 - 10.1007/s00020-013-2065-1

DO - 10.1007/s00020-013-2065-1

M3 - Article

SN - 1420-8989

VL - 77

SP - 299

EP - 301

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

ER -

An open problem: Accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators

Abstract

Fields of Expertise

Treatment code (Nähere Zuordnung)

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