The Krein spectral shift and rank one perturbations of spectra

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dc.creatorPoltoratski, Alexei G.
dc.date1996-01-03
dc.date.accessioned2026-07-07T09:15:27Z
dc.date.available2026-07-07T09:15:27Z
dc.descriptionWe use recent results on the boundary behavior of Cauchy integrals to study the Krein spectral shift of a rank one perturbation problem for self-adjoint operators. As an application, we prove that all self-adjoint rank one perturbations of a self-adjoint operator are pure point if and only if the spectrum of the operator is countable. We also study pairs of pure point operators unitarily equivalent up to a rank one perturbation and give various examples of rank one perturbations of singular spectra.
dc.identifierhttps://arxiv.org/abs/math/9601206
dc.identifierhttp://arxiv.org/abs/math/9601206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153020
dc.subjectSpectral Theory
dc.subjectFunctional Analysis
dc.titleThe Krein spectral shift and rank one perturbations of spectra
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