Operators commuting with translation by one. III: Perturbation results for periodic differential operators

DOI10.1016/0022-247X(65)90033-8zbMath0188.21201MaRDI QIDQ2537257

D. McGarvey

Publication date: 1965

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

functional analysis

Related Items (15)

A third order operator with periodic coefficients on the real line ⋮ Spectral expansion for a nonselfadjoint periodic differential operator ⋮ Essential spectral singularities and the spectral expansion for the Hill operator ⋮ Spectral expansion for nonself-adjoint differential operators with periodic matrix coefficients ⋮ The spectrum of the Hamiltonian with a PT-symmetric periodic optical potential ⋮ Asymptotic analysis of non-self-adjoint Hill operators ⋮ On the spectral properties of the Schrödinger operator with a periodic PT-symmetric potential ⋮ Biorthogonal quantum systems ⋮ Asymptotically spectral periodic differential operators ⋮ Uniform convergence of the spectral expansion for a differential operator with periodic matrix coefficients ⋮ When is a non-self-adjoint Hill operator a spectral operator of scalar type? ⋮ The spectral expansion for a nonself-adjoint Hill operator with a locally integrable potential ⋮ On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\) ⋮ A criterion for Hill operators to be spectral operators of scalar type ⋮ Elliptic algebro-geometric solutions of the KdV and AKNS hierarchies - an analytic approach

Cites Work

• Perturbation of differential operators
• Linear differential systems with periodic coefficients involving a large parameter
• Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)
• Operators commuting with translation by one. I: Representation theorems
• Spectral operators
• Perturbations of spectral operators, and applications. I. Bounded perturbations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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