2019
Том 71
№ 1

All Issues

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

Gorbachuk M. L., Gorbachuk V. I.

Full text (.pdf)


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.

English version (Springer): Ukrainian Mathematical Journal 52 (2000), no. 5, pp 694-702.

Citation Example: Gorbachuk M. L., Gorbachuk V. I. On one generalization of the Berezanskii evolution criterion for the self-adjointness of operators // Ukr. Mat. Zh. - 2000. - 52, № 5. - pp. 608-615.

Full text