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- W2962924637 abstract "Let V be a finite dimensional vector space over a field K and f a K-endomorphism of V. In this paper we study three types of f -invariant subspaces, namely hyperinvariant sub- spaces, which are invariant under all endomorphisms of V that commute with f , characteristic subspaces, which remain fixed under all automorphisms of V that commute with f ,a nd marked subspaces, which have a Jordan basis (with respect to f|X ) that can be extended to a Jordan basis of V. We show that a subspace is hyperinvariant if and only if it is characteristic and marked. If K has more than two elements then each characteristic subspace is hyperinvariant." @default.
- W2962924637 created "2019-07-30" @default.
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- W2962924637 date "2009-01-01" @default.
- W2962924637 modified "2023-10-16" @default.
- W2962924637 title "Hyperinvariant, characteristic and marked subspaces" @default.
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- W2962924637 doi "https://doi.org/10.7153/oam-03-16" @default.
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