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

• Datum: 2000
• Hauptverfasser: Gorbachuk, V. I., Gorbachuk, M. L., Горбачук, В. І., Горбачук, М. Л.
• Format: Artikel
• Sprache: Ukrainisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2000
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4455
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...