A review of a Riesz basis property for indefinite Sturm-Liouville problems

DOI10.7153/oam-05-52zbMath1244.34042OpenAlexW2325182475MaRDI QIDQ2890638

Andreas Fleige, Paul A. Binding

Publication date: 11 June 2012

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/abstracts/oam-05-52-abs.pdf

zbMATH Keywords

Riesz basisindefinite Sturm-Liouville problemHELP inequality

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalue problems for linear operators (47A75) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (8)

The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems ⋮ Positive and negative eigenfunction expansion results for indefinite Sturm-Liouville problems ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions ⋮ Spectral analysis of indefinite Sturm-Liouville operators ⋮ Characterizations of monotone \(\mathcal O\)-regularly varying functions by means of indefinite eigenvalue problems and HELP type inequalities ⋮ A failing eigenfunction expansion associated with an indefinite Sturm-Liouville problem

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