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Spectra of rank-one perturbations of self-adjoint operators
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classification
math.SP
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perturbationsrank-oneself-adjointspectraspectrumalgebraicarbitrarycharacterize
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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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