Simple eigenvectors of unbounded operators of the type 'normal plus compact'

Autor:	Michael Gil'
Jazyk:	angličtina
Rok vydání:	2015
Předmět:	Hilbert space linear operators eigenvectors approximation integro-differential operators Schatten-von Neumann operators Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Opuscula Mathematica, Vol 35, Iss 2, Pp 161-169 (2015)
Druh dokumentu:	article
ISSN:	1232-9274
DOI:	10.7494/OpMath.2015.35.2.161
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/023fb32a2a464464a97ca619efd319ef Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF