Shuvar O. B.
Conditions for the maximal dissipativity of almost bounded perturbations of smooth restrictions of operators adjoint to symmetric ones
Ukr. Mat. Zh. - 2004. - 56, № 7. - pp. 966–976
We establish conditions for the maximal dissipativity of one class of densely-defined closed linear operators in a Hilbert space. The results obtained are applied to the investigation of some special differential boundary operators.
Ukr. Mat. Zh. - 2002. - 54, № 10. - pp. 1396-1402
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*.