The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition

DOI10.1016/j.laa.2018.08.005OpenAlexW2963501115WikidataQ129408711 ScholiaQ129408711MaRDI QIDQ1791687

M. Eulàlia Montoro, David Mingueza, Alicia Roca

Publication date: 11 October 2018

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

Full work available at URL: https://arxiv.org/abs/1802.08832

zbMATH Keywords

latticescharacteristic subspaceshyperinvariant subspaces

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Lattices and duality (06D50) Linear transformations, semilinear transformations (15A04) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

The centralizer of an endomorphism over an arbitrary field

Cites Work

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• The characteristic subspace lattice of a linear transformation
• The hyperinvariant subspace lattice of a linear transformation
• Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\)
• Description of characteristic non-hyperinvariant subspaces over the field \(GF(2)\)
• Finitely Generated Abelian Groups and Similarity of Matrices over a Field
• Hyperinvariant, characteristic and marked subspaces
• The Invariant Subspace Lattice of a Linear Transformation

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