Coexistence of spectra in rank-one perturbation problems.

zbMath1059.47020MaRDI QIDQ700213

S. Fuentes, Alexei G. Poltoratski, Rafael René del Río Castillo

Publication date: 11 March 2004

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

absolutely continuous spectrumdense spectrumfamily of rank one perturbations

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (4)

Sturm-Liouville operators in the half axis with local perturbations ⋮ $\mathbf {\operatorname {SL} _2({\mathbb {R}})}$, exponential Herglotz representations, and spectral averaging ⋮ Singular Integrals, Rank One Perturbations and Clark Model in General Situation ⋮ Boundary conditions of Sturm-Liouville operators with mixed spectra.

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