A criterion for the complete continuity of the resolvent of a 2nth order differential operator with complex coefficients

DOI10.1017/S0308210500031437zbMath0716.34006MaRDI QIDQ3203325

Yutaka Kamimura

Publication date: 1990

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

zbMATH Keywords

necessary and sufficient conditioncomplete continuity of the resolvent operator

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items (5)

The bounds of eigenvalue for complex singular boundary value problems ⋮ On the spectrum of a class of differential operators and embedding theorems ⋮ Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems ⋮ Dissipative non-self-adjoint Sturm-Liouville operators and completeness of their eigenfunctions ⋮ The completeness of eigenfunctions of perturbation connected with Sturm-Liouville operators

Cites Work

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• Self-Adjointness and Spectra of Sturm-Liouville Operators.
• On the essential spectra of linear 2nth order differential operators with complex coefficients
• Some Remarks on Linear Ordinary Quasi-Differential Expressions
• On the location of the essential spectra and regularity fields of complex Sturm—Liouville operators
• On the point spectra of complex Sturm—Liouville operators
• 11.—Limit-n Criteria of Integral Type

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