Invertible linear relations generated by integral equations with operator measures


Vladislav M Bruk




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