Spectra of rank-one perturbations of self-adjoint operators

2020/06/22 by Dobosevych, Oles, Hryniv, Rostyslav · 2 citations
#15A18 #15A60 (Secondary) #47A55 (Primary) 47A10 #FOS: Mathematics #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2006.12241

Abstract

We characterize possible spectra of rank-one perturbations B of a self-adjoint operator A with discrete spectrum and, in particular, prove that the spectrum of B may include any number of real or non-real eigenvalues of arbitrary algebraic multiplicity

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