The characteristic subspace lattice of a linear transformation

DOI10.1016/J.LAA.2016.06.003zbMath1368.15002OpenAlexW2419189574MaRDI QIDQ739114

Alicia Roca, David Mingueza, M. Eulàlia Montoro

Publication date: 17 August 2016

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

Full work available at URL: http://hdl.handle.net/10251/151298

zbMATH Keywords

latticescharacteristic subspaceshyperinvariant subspaces

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Lattices and duality (06D50) Semimodular lattices, geometric lattices (06C10) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (2)

Computing the cardinality of the lattice of characteristic subspaces ⋮ The lattice of characteristic subspaces of an endomorphism with Jordan-Chevalley decomposition

Cites Work

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• 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 \(GF(2)\)
• Hyperinvariant, characteristic and marked subspaces
• The Invariant Subspace Lattice of a Linear Transformation

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