On invariant subspaces of matrices: a new proof of a theorem of Halmos

DOI10.1016/j.laa.2010.07.033zbMath1206.15007OpenAlexW2018298748MaRDI QIDQ603155

I. Yu. Domanov

Publication date: 5 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2010.07.033

zbMATH Keywords

invariant subspacecommutant

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Commutativity of matrices (15A27)

Related Items

Description of characteristic non-hyperinvariant subspaces over the field \(GF(2)\) ⋮ On the existence of a common eigenvector for all matrices in the commutant of a single matrix ⋮ On Theorems of Halmos and Roth ⋮ Constructing invariant subspaces as kernels of commuting matrices

Cites Work

• On the similarity transformation between a matrix and its transpose
• On the spectral analysis of direct sums of Riemann-Liouville operators in Sobolev spaces of vector functions
• Invariant subspaces of a nilpotent operator on a Banach space.
• Eigenvectors and adjoints
• On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result)
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