Eigenvalue estimates for singular left-definite Sturm-Liouville operators

DOI10.4171/JST/14zbMath1235.34225arXiv1012.4195MaRDI QIDQ2276076

Jussi Behrndt, Carsten Trunk, Roland Möws

Publication date: 16 August 2011

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4195

zbMATH Keywords

essential spectrumspectral gapSturm-Liouville operatorseigenvalue estimatesleft-definite

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

Sharp eigenvalue estimates for rank one perturbations of nonnegative operators in Krein spaces ⋮ Eigenvalues of Schrödinger operators with definite and indefinite weights ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Restrictions and extensions of semibounded operators ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps

Cites Work

• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• Spectral analysis of singular ordinary differential operators with indefinite weights
• On the spectral theory of singular indefinite Sturm-Liouville operators
• On the negative squares of indefinite Sturm--Liouville operators
• Non-real eigenvalues of singular indefinite Sturm-Liouville operators
• Sturm-Liouville operators with an indefinite weight function
• The Operator (sgn x) d 2 dx 2 is Similar to a Selfadjoint Operator in L 2 ( R )
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