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*.

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal