On an open problem of Weidmann: essential spectra and square-integrable solutions

DOI10.1017/S0308210509001681zbMath1237.47046MaRDI QIDQ2996702

Jianggang Qi, Shaozhu Chen

Publication date: 3 May 2011

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

zbMATH Keywords

essential spectrumdeficiency indicessquare-integrable solutions\(n\)-th order ordinary differential operators

Mathematics Subject Classification ID

Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (9)

Characterization of domains of self-adjoint ordinary differential operators. II ⋮ Essential spectra of one-dimensional Dirac operators ⋮ Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators ⋮ On essential spectra of singular linear Hamiltonian systems ⋮ The spectrum of differential operators and square-integrable solutions ⋮ Survey article: Self-adjoint ordinary differential operators and their spectrum ⋮ Relatively bounded and relatively compact perturbations for limit circle Hamiltonian systems ⋮ Characterization of eigenvalues in spectral gap for singular differential operators ⋮ Essential spectrum of singular discrete linear Hamiltonian systems

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