Dissipative Extensions of Linear Relations Generated by Integral Equations with Operator Measures

Abstract

In the paper, a minimal relation L 0 generated by an integral equation with operator measures is defined and a description of the adjoint relation L * 0 is given. For this minimal relation, we construct a space of boundary values (a boundary triplet) satisfying the abstract "Green formula" and get a description of maximal dissipative (accumulative) and also self-adjoint extensions of the minimal relation.