On the location of the essential spectra and regularity fields of complex Sturm—Liouville operators

DOI10.1017/S0308210500011689zbMath0422.34027MaRDI QIDQ3855491

David Race

Publication date: 1980

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

zbMATH Keywords

essential spectraregularity fields of complex Sturm-Liouville operators

Mathematics Subject Classification ID

Ordinary differential operators (34L99)

Related Items

The point spectra and regularity fields of non-selfadjoint quasi- differential operators, The Spectra of General Differential Operators in the Direct Sum Spaces, The theory of J-selfadjoint extensions of J-symmetric operators, A criterion for the complete continuity of the resolvent of a 2nth order differential operator with complex coefficients, The bounds of eigenvalue for complex singular boundary value problems, ᵉe-symmetric second order differential operators with large leading coefficient, Estimates on the eigenvalues of complex nonlocal Sturm-Liouville problems, Dissipative non-self-adjoint Sturm-Liouville operators and completeness of their eigenfunctions, Unnamed Item, Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators, The completeness of eigenfunctions of perturbation connected with Sturm-Liouville operators, Proof of a conjecture of Race, m (λ)-functions for complex Sturm-Liouville operators, On the point spectra of complex Sturm—Liouville operators, On the essential spectra of regularly solvable operators in the direct sum spaces, On the essential spectra of linear 2nth order differential operators with complex coefficients, Dissipative Sturm-Liouville operators

Cites Work

• The essential spectrum of a class of ordinary differential operators
• Some remarks on a separation and limit-point criterion of second-order, ordinary differential expressions
• Investigation of the spectrum and the expansion in eigenfunctions of a non-selfadjoint differential operator of the second order on a semi-axis
• Self-Adjointness and Spectra of Sturm-Liouville Operators.
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