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

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Abstract

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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Authors and Affiliations

  1. Lviv University, Lviv

    O. H. Storozh & O. B. Shuvar

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  1. O. H. Storozh
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  2. O. B. Shuvar
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Storozh, O.H., Shuvar, O.B. On One Class of Almost Bounded Perturbations of Smooth Restrictions of a Closed Operator. Ukrainian Mathematical Journal 54, 1689–1697 (2002). https://doi.org/10.1023/A:1023736404544

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  • DOI: https://doi.org/10.1023/A:1023736404544

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