Аннотация:
We define a minimal operator $L_{0}$ generated by an integral equation with an operator measure and give a description of the adjoint operator $L^{*}_{0}$.
We prove that every generalized resolvent of $L_{0}$ is an integral operator and give a description of boundary value problems associated to generalized resolvents.
Ключевые слова:
integral equation, Hilbert space, symmetric operator, generalized resolvent, boundary value problem.