Indefinite Sturm–Liouville operators with the singular critical point zero

DOI10.1017/S0308210507000157zbMath1152.34018arXivmath/0612173WikidataQ62469692 ScholiaQ62469692MaRDI QIDQ3521222

Illya M. Karabash, Aleksey S. Kostenko

Publication date: 21 August 2008

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612173

zbMATH Keywords

Krein spacecritical pointTitchmarsh-Weyl functionSturm-Liouville theory

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General theory of ordinary differential operators (47E05) Linear operators on spaces with an indefinite metric (47B50)

Related Items (11)

The similarity problem for \(J\)-nonnegative Sturm-Liouville operators ⋮ The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems ⋮ On the similarity of a \(J\)-nonnegative Sturm-Liouville operator to a self-adjoint operator ⋮ Bounds on the non-real spectrum of differential operators with indefinite weights ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ Spectral analysis of singular ordinary differential operators with indefinite weights ⋮ Abstract Kinetic Equations with Positive Collision Operators ⋮ Partially fundamentally reducible operators in Kreĭn spaces ⋮ Boundary triples and Weyl \(m\)-functions for powers of the Jacobi differential operator

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