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

DOI10.1007/s00020-013-2065-1zbMath1283.47052OpenAlexW2064066091MaRDI QIDQ2441078

Jussi Behrndt

Publication date: 21 March 2014

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-013-2065-1

zbMATH Keywords

Sturm-Liouville operatorindefinite weight functionnonreal eigenvalues

Mathematics Subject Classification ID

Problem books (00A07) Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Linear operators on spaces with an indefinite metric (47B50) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Eigenvalues of Schrödinger operators with definite and indefinite weights ⋮ Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Sharp spectral bounds for complex perturbations of the indefinite Laplacian

Cites Work

• Unnamed Item
• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• On the spectral theory of singular indefinite Sturm-Liouville operators
• Accumulation of complex eigenvalues of indefinite Sturm–Liouville operators
• Spectral properties of singular Sturm—Liouville operators with indefinite weight sgn x

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