On the existence of a common eigenvector for all matrices in the commutant of a single matrix

DOI10.1016/j.laa.2012.04.011zbMath1247.15008OpenAlexW1973664960MaRDI QIDQ442691

M. Dolors Magret, M. Eulàlia Montoro

Publication date: 3 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.011

zbMATH Keywords

centralizerinvariant subspacescommon eigenvectorcommutant

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Algorithms for solving the inverse problem associated with \(KAK=A^{s+1}\) ⋮ Description of characteristic non-hyperinvariant subspaces over the field \(GF(2)\)

Cites Work

• On invariant subspaces of matrices: a new proof of a theorem of Halmos
• Common eigenvectors of two matrices
• Common invariant subspaces of two matrices
• A criterion for the existence of common invariant subspaces of matrices
• Unnamed Item

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