Spectral properties of perturbed linear operators and their application to infinite matrices-Reference-Cited by-同舟云学术

Spectral properties of perturbed linear operators and their application to infinite matrices

Published:1991 Issue:4 Volume:112 Page:1013-1022
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Farid F. O.

Abstract

In this paper, upper bounds for the difference between the eigenvalues and the eigenvectors of a closed linear operator D D and those of D + F D + F , where F F is a bounded linear operator, are given in terms of the norm of F F . These results are applied to approximate the eigenvalues and the eigenvectors of a diagonally infinite matrix by those of its corresponding diagonal matrix.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1991-112-04/S0002-9939-1991-1057943-2/S0002-9939-1991-1057943-2.pdf

Reference7 articles.

1. Spectral properties of diagonally dominant infinite matrices. I;Farid, F. O.;Proc. Roy. Soc. Edinburgh Sect. A,1989

2. Spectral properties of diagonally dominant infinite matrices. II;Farid, F. O.;Linear Algebra Appl.,1991

3. Operator Theory and Analysis

4. Perturbation of linear operators in Banach spaces;Rosenbloom, Paul;Arch. Math. (Basel),1955

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