Generalized Resolvents of an lsometric Operator in a Pontrjagin Space

Abstract

In this paper the contractive and generalized resolvents of an isometric operator in a Pontrjagin-space are studied. Especially, the domain of the operator is allowed to be degenerate. The resulting formulae are analogous to the nondegenerate case, but the values of the characterising parameter are now linear relations instead of linear operators.