The effect of finite rank perturbations on Jordan chains of linear operators

A general result on the structure and dimension of the root subspaces of a linear operator under finite rank perturbations is proved: The increase of dimension from the kernel of the <i>n</i>-th power to the kernel of the (<i>n</i>+1)-th power of the perturbed operator differ...

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Detalles Bibliográficos
Autores principales: Behrndt, Jussi, Leben, Leslie, Martínez Pería, Francisco Dardo, Trunk, Carsten
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Matemática
Finite rank perturbation
Jordan chain
Root subspace
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86002
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-86002
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Finite rank perturbation
Jordan chain
Root subspace
spellingShingle Ciencias Exactas
Matemática
Finite rank perturbation
Jordan chain
Root subspace
Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Trunk, Carsten
The effect of finite rank perturbations on Jordan chains of linear operators
topic_facet Ciencias Exactas
Matemática
Finite rank perturbation
Jordan chain
Root subspace
description A general result on the structure and dimension of the root subspaces of a linear operator under finite rank perturbations is proved: The increase of dimension from the kernel of the <i>n</i>-th power to the kernel of the (<i>n</i>+1)-th power of the perturbed operator differs from the increase of dimension of the kernels of the corresponding powers of the unperturbed operator by at most the rank of the perturbation. This bound is sharp.
format Articulo
Articulo
author Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Trunk, Carsten
author_facet Behrndt, Jussi
Leben, Leslie
Martínez Pería, Francisco Dardo
Trunk, Carsten
author_sort Behrndt, Jussi
title The effect of finite rank perturbations on Jordan chains of linear operators
title_short The effect of finite rank perturbations on Jordan chains of linear operators
title_full The effect of finite rank perturbations on Jordan chains of linear operators
title_fullStr The effect of finite rank perturbations on Jordan chains of linear operators
title_full_unstemmed The effect of finite rank perturbations on Jordan chains of linear operators
title_sort effect of finite rank perturbations on jordan chains of linear operators
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/86002
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