Analog of the Krein Formula for Resolvents of Normal Extensions of a Prenormal Operator

We prove a formula that relates resolvents of normal operators that are extensions of a certain prenormal operator. This formula is an analog of the Krein formula for resolvents of self-adjoint extensions of a symmetric operator. We describe properties of the defect subspaces of a prenormal operator...

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Bibliographic Details
Date:2002
Main Authors: Dudkin, M. Ye., Дудкін, М. Є.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2002
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4092
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal