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math.SP2020
Direct and inverse spectral problems for rank-one perturbations of self-adjoint operators
Oles Dobosevych, Rostyslav Hryniv
For a given self-adjoint operator with discrete spectrum, we completely characterize possible eigenvalues of its rank-one perturbations~ and discuss the inverse problem of r…
math.SP2020
Spectra of rank-one perturbations of self-adjoint operators
Oles Dobosevych, Rostyslav Hryniv
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 nu…