Simple eigenvectors of unbounded operators of the type “normal plus compact”
The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent. We consider approximations of the eigenvectors of \(A\), corresponding to simple eigenvalues by the eigenvecto...
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AGH Univeristy of Science and Technology Press
2015-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol35/2/art/opuscula_math_3511.pdf |
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doaj-023fb32a2a464464a97ca619efd319ef2020-11-24T22:59:42ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742015-01-01352161169http://dx.doi.org/10.7494/OpMath.2015.35.2.1613511Simple eigenvectors of unbounded operators of the type “normal plus compact”Michael Gil'0Ben Gurion University of the Negev, Department of Mathematics, P.O. Box 653, Beer-Sheva 84105, IsraelThe paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent. We consider approximations of the eigenvectors of \(A\), corresponding to simple eigenvalues by the eigenvectors of the operators \(A_n=S+B_n\) (\(n=1,2, \ldots\)), where \(B_n\) is an \(n\)-dimensional operator. In addition, we obtain the error estimate of the approximation.http://www.opuscula.agh.edu.pl/vol35/2/art/opuscula_math_3511.pdfHilbert spacelinear operatorseigenvectorsapproximationintegro-differential operatorsSchatten-von Neumann operators |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Michael Gil' |
| spellingShingle |
Michael Gil' Simple eigenvectors of unbounded operators of the type “normal plus compact” Opuscula Mathematica Hilbert space linear operators eigenvectors approximation integro-differential operators Schatten-von Neumann operators |
| author_facet |
Michael Gil' |
| author_sort |
Michael Gil' |
| title |
Simple eigenvectors of unbounded operators of the type “normal plus compact” |
| title_short |
Simple eigenvectors of unbounded operators of the type “normal plus compact” |
| title_full |
Simple eigenvectors of unbounded operators of the type “normal plus compact” |
| title_fullStr |
Simple eigenvectors of unbounded operators of the type “normal plus compact” |
| title_full_unstemmed |
Simple eigenvectors of unbounded operators of the type “normal plus compact” |
| title_sort |
simple eigenvectors of unbounded operators of the type “normal plus compact” |
| publisher |
AGH Univeristy of Science and Technology Press |
| series |
Opuscula Mathematica |
| issn |
1232-9274 |
| publishDate |
2015-01-01 |
| description |
The paper deals with operators of the form \(A=S+B\), where \(B\) is a compact operator in a Hilbert space \(H\) and \(S\) is an unbounded normal one in \(H\), having a compact resolvent. We consider approximations of the eigenvectors of \(A\), corresponding to simple eigenvalues by the eigenvectors of the operators \(A_n=S+B_n\) (\(n=1,2, \ldots\)), where \(B_n\) is an \(n\)-dimensional operator. In addition, we obtain the error estimate of the approximation. |
| topic |
Hilbert space linear operators eigenvectors approximation integro-differential operators Schatten-von Neumann operators |
| url |
http://www.opuscula.agh.edu.pl/vol35/2/art/opuscula_math_3511.pdf |
| work_keys_str_mv |
AT michaelgil simpleeigenvectorsofunboundedoperatorsofthetypenormalpluscompact |
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1725644063369068544 |