Invertible linear relations generated by integral equations with operator measures

Abstract

We define a minimal relation L0 generated by an integral equation with operators measures and give a description of the relations L0- ?E, L*0- ?E, where L*0 is adjoint for L0, ?? C. The obtained results are applied to a description of relations T(?) such that L0- ?E ? T(?) ? L*0- ?E and T-1(?) are bounded everywhere defined operators.