Singularly perturbed self-adjoint operators in scales of Hilbert spaces

Finite rank perturbations of a semi-bounded self-adjoint operator $A$ are studied in the scale of Hilbert spaces associated with $A$. A concept of quasi-boundary value space is used to describe self-adjoint operator realizations of regular and singular perturbations of $A$ by the same formula. As...

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Bibliographic Details
Date:2007
Main Authors: Kuzhel', S. A., Nizhnik, L. P., Кужіль, С. О., Нижник, Л. П.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2007
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3341
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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