On Krein's formula in the case of non-densely defined symmetric operators

[摘要] In this paper we provide some additional results related to Krein's resolvent formula for a non-densely defined symmetric operator. We show that coefficients in Krein's formula can be expressed in terms of analogues of the classical von Neumann formulas. The relationship between two Weyl-Tichmarsh in-functions corresponding to self-adjoint extensions of a non-densely defined symmetric operator is established. (C) 2001 Elsevier Science.

[发布日期] 2001-12-15