Examples of Friedrichs Model Operators with a Cluster Point of Eigenvalues
نویسنده
چکیده
A family of selfadjoint operators of the Friedrichs model is considered. These symmetric type operators have one singular point, zero of order m. For every m > 3/2, we construct a rank 1 perturbation from the class Lip1 such that the corresponding operator has a sequence of eigenvalues converging to zero. Thus, near the singular point, there is no singular spectrum finiteness condition in terms of amodulus of continuity of a perturbation for these operators in case ofm> 3/2.
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تاریخ انتشار 2002