Abstract:The singular nonsymmetric rank one perturbation of
a self-adjoint operator from classes ${\mathcal H}_{-1}$ and ${\mathcal H}_{-2}$ was considered for the first time in works by
Dudkin M.E. and Vdovenko T.I. \cite{k8,k9}. In the mentioned papers, some properties of the point spectrum are described,
which occur during such perturbations.
This paper proposes generalizations of the results presented in \cite{k8,k9} and \cite{k2} in the case of
nonsymmetric class ${\mathcal H}_{-2}$ perturbations of finite rank.
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