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

dc.creatorBehrndt, Jussi
dc.creatorMartinez Peria, Francisco Dardo
dc.creatorLeben,Leslie
dc.creatorTrunk, Carsten
dc.date.accessioned2015-11-05T17:11:21Z
dc.date.available2015-11-05T17:11:21Z
dc.date.created2015-11-05T17:11:21Z
dc.date.issued2015-08-15
dc.identifierBehrndt, 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.identifier0024-3795
dc.identifierhttp://hdl.handle.net/11336/2671
dc.description.abstractA 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.languageeng
dc.publisherElsevier Science Inc
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2015.04.007
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://goo.gl/pVONS6
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1403.7758
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http/dx.doi.arg/10.1016/j.laa.2015.04.007
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFinite Rank Perturbation
dc.subjectJordan Chain
dc.subjectRoot Subspace
dc.titleThe effect of finite rank perturbations on Jordan chains of linear operators
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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