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dc.contributor.author
Behrndt, Jussi  
dc.contributor.author
Martinez Peria, Francisco Dardo  
dc.contributor.author
Leben,Leslie  
dc.contributor.author
Trunk, Carsten  
dc.date.available
2015-11-05T17:11:21Z  
dc.date.issued
2015-08-15  
dc.identifier.citation
Behrndt, Jussi; Martinez Peria, Francisco Dardo; Leben,Leslie; Trunk, Carsten; The effect of finite rank perturbations on Jordan chains of linear operators; Elsevier Science Inc; Linear Algebra And Its Applications; 479; 15-8-2015; 118-130  
dc.identifier.issn
0024-3795  
dc.identifier.uri
http://hdl.handle.net/11336/2671  
dc.description.abstract
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 n-th power of the kernel of the perturbed operator to the (n + 1)-th power differs from the increase of dimension of the corresponding powers of the kernels of the unperturbed operator by at most the rank of the perturbation. This bound is sharp.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science Inc  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Finite Rank Perturbation  
dc.subject
Jordan Chain  
dc.subject
Root Subspace  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The effect of finite rank perturbations on Jordan chains of linear operators  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2016-03-30 10:35:44.97925-03  
dc.journal.volume
479  
dc.journal.pagination
118-130  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Behrndt, Jussi. Technische Universität Graz. Institut für Numerische Mathematik.; Alemania  
dc.description.fil
Fil: Martinez Peria, Francisco Dardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemáticas; Argentina  
dc.description.fil
Fil: Leben,Leslie. Technische Universität Graz. Institut für Numerische Mathematik; Alemania  
dc.description.fil
Fil: Trunk, Carsten. Technische Universität Graz. Institut für Numerische Mathematik; Alemania  
dc.journal.title
Linear Algebra And Its Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://goo.gl/pVONS6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.7758  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http//dx.doi.arg/10.1016/j.laa.2015.04.007  

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