Spectral approximations of unbounded operators of the type ``normal plus compact''
type: Item
instance of: scholarly article
title: Spectral approximations of unbounded operators of the type ``normal plus compact''
zbMATH Open document ID: 1314.47029
author: Michael I. Gil'
published in: Functiones et Approximatio. Commentarii Mathematici
publication date: 2014-10-24T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.facm/1411564619
review text: The author investigates the spectral approximation of the operator \(A=S+B\), where \(S\) is a normal operator in the separable Hilbert space \(H\) with compact resolvent and \(B\) is a compact operator in \(H\). Namely, he studies the approximations of the eigenvalues of the operator \(A\) by the eigenvalues of the operators \(A_n=S+B_n\), \(n=1,2,\dots\), where \(B_n\) are \(n\)-dimensional operators. An error estimate of the approximation is also obtained.
Mathematics Subject Classification ID: 47A75
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B99
zbMATH DE Number: 6361353
zbMATH Keywords: linear operators
zbMATH Keywords: Hilbert space
zbMATH Keywords: eigenvalues
zbMATH Keywords: approximation
zbMATH Keywords: Schatten-von Neumann operators
zbMATH Keywords: integro-differential operators
reviewed by: Rodica Luca
MaRDI profile type: Publication
OpenAlex ID: W2001018404
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DOI: 10.7169/FACM/2014.51.1.7
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description: scientific article; zbMATH DE number 6361353