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On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators

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Abstract

We describe all weak solutions of a first-order differential equation in a Banach space on (0, ∞) and investigate their behavior in the neighborhood of zero. We use the results obtained to establish necessary and sufficient conditions for the essential maximal dissipativity of a dissipative operator in a Hilbert space.

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Authors and Affiliations

  1. Institute of Mathematics, Ukranian Academy of Sciences, Kiev

    M. L. Gorbachuk & V. I. Gorbachuk

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  1. M. L. Gorbachuk
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  2. V. I. Gorbachuk
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Gorbachuk, M.L., Gorbachuk, V.I. On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators. Ukr Math J 52, 694–702 (2000). https://doi.org/10.1007/BF02487282

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  • DOI: https://doi.org/10.1007/BF02487282

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