Estimation of eigenvalues of self-adjoint operators

Estimates of the number of eigenvalues are obtained for perturbations of certain selfadjoint and unitary operators in a Hilbert space. As a special case, we consider a perturbation of the operator of multiplication by an independent variable in $L_2(\mathbb{R})$ and $L_2(0, 1)$.

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Bibliographic Details
Date:1994
Main Authors: Yavorskii, Yu. M., Яворський, Ю. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5725
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal