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Eigenmatrices and operators commuting with finite-rank operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2006 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 419, pages 739-749 (issn: 0024-3795, Copyright policy )
Authors: Martínez-Avendaño, Rubén A.;

doi: 10.1016/j.laa.2006.06.017

Eigenmatrices and operators commuting with finite-rank operators

Abstract

AbstractWe prove, using eigenmatrices, that if an operator commutes with an operator of finite rank, then it commutes with an operator of rank one.

Related Organizations
Keywords

Eigenmatrix, Finite-dimensional invariant subspaces, Numerical Analysis, Algebra and Number Theory, Rank-one operators, Discrete Mathematics and Combinatorics, Finite-rank operators, Geometry and Topology

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
hybrid