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- W1617021785 abstract "We 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." @default.
- W1617021785 created "2016-06-24" @default.
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- W1617021785 date "1996-01-03" @default.
- W1617021785 modified "2023-09-27" @default.
- W1617021785 title "The Krein spectral shift and rank one perturbations of spectra" @default.
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