Аннотация:
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.
Ключевые слова и фразы:Hilbert space, linear relation, integral equation, dissipative extension, self-adjoint extension, boundary value, operator measure.