On the criteria of transversality and disjointness of nonnegative selfadjoint extensions of nonnegative symmetric operators

• Datum: 2018
• Hauptverfasser: Kovalev, Yu. G., Ковалев, Ю. Г.
• Format: Artikel
• Sprache: Russisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2018
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1571
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We propose criteria of transversality and disjointness for the Friedrichs and Krein extensions of a nonnegative symmetric operator in terms of the vectors $\{ \varphi j , j \in J\}$ that form a Riesz basis of the defect subspace. The criterion is applied to the Friedrichs and Krein extensions of t...