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

Michael Gil'

doi:10.7494/OpMath.2015.35.2.161

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

Michael Gil'

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 An = S +Bn (n = 1; 2; : : :), where Bn is an n-dimensional operator. In addition, we obtain the error estimate of the approximation.

Original language	English
Pages (from-to)	161-169
Number of pages	9
Journal	Opuscula Mathematica
Volume	35
Issue number	2
DOIs	https://doi.org/10.7494/OpMath.2015.35.2.161
State	Published - 1 Jan 2015

Keywords

Approximation
Eigenvectors
Hilbert space
Integro-differential operators
Linear operators
Schatten-von Neumann operators

ASJC Scopus subject areas

General Mathematics

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10.7494/OpMath.2015.35.2.161

Cite this

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AB - 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 An = S +Bn (n = 1; 2; : : :), where Bn is an n-dimensional operator. In addition, we obtain the error estimate of the approximation.

KW - Approximation

KW - Eigenvectors

KW - Hilbert space

KW - Integro-differential operators

KW - Linear operators

KW - Schatten-von Neumann operators

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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