Reducibility of self-adjoint linear relations and application to generalized Nevanlinna functions

• Datum: 2022
• 1. Verfasser: Borogovac, M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2022
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6084
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9We present necessary and sufficient conditions for the reducibility of a self-adjoint linear relation in a Krein space. Then a generalized Nevanlinna function $Q$ represented by a self-adjoint linear relation $A$ in a Pontryagin space is decomposed by means of the reducing subspaces of $A.$...