The similarity problem for indefinite Sturm-Liouville operators with periodic coefficients

DOI10.7153/oam-05-50zbMath1314.47058arXiv1004.3991OpenAlexW2962850717WikidataQ62469615 ScholiaQ62469615MaRDI QIDQ2890636

Aleksey S. Kostenko

Publication date: 11 June 2012

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

Full work available at URL: https://arxiv.org/abs/1004.3991

zbMATH Keywords

Krein spacecritical pointsimilaritySturm-Liouville operatorself-adjoint operator\(J\)-self-adjoint operatorregularity of critical points

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear operators on spaces with an indefinite metric (47B50) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (9)

The Critical Point Infinity Associated with Indefinite Sturm–Liouville Problems ⋮ On a necessary aspect for the Riesz basis property for indefinite Sturm-Liouville problems ⋮ A BOUND FOR SIMILARITY CONDITION NUMBERS OF UNBOUNDED OPERATORS WITH HILBERT–SCHMIDT HERMITIAN COMPONENTS ⋮ On condition numbers of spectral operators in a Hilbert space ⋮ Indefinite Sturm-Liouville operators in polar form ⋮ The similarity problem for indefinite Sturm-Liouville operators and the HELP inequality ⋮ On location of spectra of unbounded operators in the right half-plane ⋮ The Riesz basis property of an indefinite Sturm-Liouville problem with non-separated boundary conditions ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS

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