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Conditions for the maximal dissipativity of almost bounded perturbations of smooth restrictions of operators adjoint to symmetric ones

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Abstract

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.

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Authors and Affiliations

  1. Lviv National 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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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 7, pp. 966–976, July, 2004.

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Storozh, O.H., Shuvar, O.B. Conditions for the maximal dissipativity of almost bounded perturbations of smooth restrictions of operators adjoint to symmetric ones. Ukr Math J 56, 1151–1165 (2004). https://doi.org/10.1007/s11253-005-0098-6

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  • DOI: https://doi.org/10.1007/s11253-005-0098-6

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