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

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 $A.$...

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Bibliographic Details
Date:	2022
Main Author:	Borogovac, M.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2022
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/6084
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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