Approximation numbers and approximation of the eigenvalues of integral operators
type: Item
instance of: scholarly article
title: Approximation numbers and approximation of the eigenvalues of integral operators
zbMATH Open document ID: 0643.47024
DOI: 10.1007/BF01057499
published in: Ukrainian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Let \(X=L_ 2[0,2\pi]\), and h(x,y) be a kernel generating an operator H in X. Then \(\partial h\) j/\(\partial y\) j defines an operator \(H_ j\) and \(\partial\) \(iH_ j/\partial x_ i\) is required to be a continuous operator. Finite rank operators are constructed such that their eigenvalues approximate the spectrum of H. Additionally, quantitative estimates of the approximation are also obtained.
Mathematics Subject Classification ID: 47B10
Mathematics Subject Classification ID: 47B38
Mathematics Subject Classification ID: 47A70
zbMATH DE Number: 4048436
zbMATH Keywords: self-adjoint operator
zbMATH Keywords: integral operators
zbMATH Keywords: finite rank approximation
zbMATH Keywords: kernel
zbMATH Keywords: Finite rank operators
zbMATH Keywords: eigenvalues
zbMATH Keywords: quantitative estimates of the approximation
author: Sergei V. Pereverzyev
reviewed by: Jerzy Szulga
MaRDI profile type: Publication
cites work: Q3733417
cites work: Q5538021
cites work: Q3937799
cites work: Q4115573
cites work: Q3704867
cites work: Q4112997
cites work: Fehlerabschätzungen für Eigenwertnäherungen nach der Ersatzkernmethode bei Integralgleichungen
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description: scientific article; zbMATH DE number 4048436