Singularly Perturbed Self-Adjoint Operators in Scales of Hilbert spaces
نویسنده
چکیده
Finite rank perturbations of a semi-bounded self-adjoint operator A are studied in the scale of Hilbert spaces associated with A. A concept of quasi-boundary value space is used to describe self-adjoint operator realizations of regular and singular perturbations of A by the same formula. As an application the one-dimensional Schrödinger operator with generalized zero-range potential is considered in the Sobolev space W p 2 (R), p ∈ N.
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