On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator

• Date: 2002
• Main Authors: Storozh, O. G., Shuvar, O. B., Сторож, О. Г., Шувар, О. Б.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4177
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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*.