On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator
We investigate one class of perturbations of a closed densely-defined operator in a Hilbert space. These perturbations change the domain of definition of the operator. We prove that the perturbed operator S is closed and densely defined. We construct the adjoint operator S*.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 10, pp 1689-1697.
Citation Example: Shuvar O. B., Storozh O. G. On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator // Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1396-1402.