Invertible extensions of symmetric operators and the corresponding generalized resolvents
Invertible extensions of symmetric operators and the corresponding generalized resolvents
In this paper we study invertible extensions of a symmetric operator in a Hilbert space H. Generalized resolvents, which are generated by invertible self-adjoint extensions, are extracted by a boundary condition among all generalized resolvents in the Shtraus formula. It is shown that a closed symmetric invertible (not necessarily densely …