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 − lE, L0 − lE, where L0 is adjoint for L0, l 2 C. The obtained results are applied to a description of relations T(l) such that L0 − lE T(l) L0 − lE and T−1(l) are bounded everywhere defined operators.