On the point spectra of complex Sturm—Liouville operators

DOI10.1017/S0308210500011859zbMath0446.47035MaRDI QIDQ3891265

No author found.

Publication date: 1980

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

zbMATH Keywords

J-symmetric Sturm-Liouville operatorthe point spectra

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) 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) Ordinary differential operators (34L99)

Related Items (9)

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 ⋮ ᵉe-symmetric second order differential operators with large leading coefficient ⋮ On the boundary conditions characterizing J-sefladjoint extensions of J- symmetric operators ⋮ m (λ)-functions for complex Sturm-Liouville operators ⋮ On the essential spectra of linear 2nth order differential operators with complex coefficients ⋮ Dissipative Sturm-Liouville operators ⋮ On the limit-point classification of a class of non-self-adjoint ordinary differential operators ⋮ On the spectra of non-self-adjoint realisations of second-order elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• On essential self-adjointness for singular elliptic differential operators
• A limit-point criterion for expressions with oscillatory coefficients
• On the essential spectrum
• Spectral theory. II. Resolutions of the identity
• On the existence of J-selfadjoint extensions of J-symmetric operators with adjoint
• On the location of the essential spectra and regularity fields of complex Sturm—Liouville operators
• On the number ofL²-solutions of second order linear differential equations
• On the location of eigenvalues of second order linear differential operators
• Criteria of Non-Degeneracy for the Wave Equation

This page was built for publication: On the point spectra of complex Sturm—Liouville operators