Point spectrum and mixed spectral types for rank one perturbations

DOI10.1090/S0002-9939-97-03997-XzbMath0888.47008OpenAlexW1567252972MaRDI QIDQ4372414

Barry Simon, Rafael René del Río Castillo

Publication date: 11 December 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03997-x

zbMATH Keywords

point spectrumsingular continuous spectrumrank one perturbations

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55)

Related Items

Spectral and dynamical contrast on highly correlated Anderson-type models ⋮ Boundary conditions of Sturm-Liouville operators with mixed spectra. ⋮ Rank-one perturbations of diagonal operators

Cites Work

• On a theorem of Carey and Pincus
• Rank one perturbations at infinite coupling
• Stability of spectral types for Sturm-Liouville operators
• Operators with singular continuous spectrum. IV: Hausdorff dimensions, rank one perturbations, and localization
• Singular continuous spectrum under rank one perturbations and localization for random hamiltonians
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