On the spectral theory of singular indefinite Sturm-Liouville operators

DOI10.1016/j.jmaa.2007.01.048zbMath1126.34052OpenAlexW2160957235MaRDI QIDQ996922

Jussi Behrndt

Publication date: 19 July 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.01.048

zbMATH Keywords

Sturm-Liouville operatorsdefinitizable operatorsKrein spaces

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40)

Related Items

Eigenvalues of Schrödinger operators with definite and indefinite weights ⋮ Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ On a class of \(J\)-self-adjoint operators with empty resolvent set ⋮ An open problem: accumulation of nonreal eigenvalues of indefinite Sturm-Liouville operators ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps ⋮ On finite rank perturbations of definitizable operators ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Eigenvalue estimates for singular left-definite Sturm-Liouville operators ⋮ On the negative squares of indefinite Sturm--Liouville operators ⋮ Partially fundamentally reducible operators in Kreĭn spaces ⋮ Boundary value problems with eigenvalue depending boundary conditions ⋮ Non-real eigenvalues of singular indefinite Sturm-Liouville operators ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

Cites Work

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