On the orbit of invariant subspaces of linear operators in finite-dimensional spaces (new proof of a Halmos's result)

DOI10.1016/S0024-3795(01)00239-7zbMath1008.47007WikidataQ126789359 ScholiaQ126789359MaRDI QIDQ5935586

Abdelkhalek Faouzi

Publication date: 1 April 2003

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

zbMATH Keywords

invariant subspacecommutantfunctor

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Abelian groups (20Kxx)

Related Items (2)

On invariant subspaces of matrices: a new proof of a theorem of Halmos ⋮ Constructing invariant subspaces as kernels of commuting matrices

Cites Work

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• Invariant subspaces of a nilpotent operator on a Banach space.
• Inequalities for the degrees of elementary divisors of modules
• Eigenvectors and adjoints
• Sur l'orbite d'un espace de Banach sous l'action du commutant d'un operateur nilpotent. (On the orbit of a Banach space under the action of the commutant of a nilpotent operator)

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