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The characteristic subspace lattice of a linear transformation

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The characteristic subspace lattice of a linear transformation

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Mingueza, D.; Montoro, ME.; Roca Martinez, A. (2016). The characteristic subspace lattice of a linear transformation. Linear Algebra and its Applications. 506:329-341. https://doi.org/10.1016/j.laa.2016.06.003

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Title: The characteristic subspace lattice of a linear transformation
Author: Mingueza, David Montoro, M. Eulàlia Roca Martinez, Alicia
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] Given a square matrix A in Mn(F), the lattices of the hyper-invariant (Hinv(A)) and characteristic (Chinv(A)) subspaces coincide whenever Fis not GF(2). If the characteristic polynomial of A splits over F, A can be ...[+]
Subjects: Hyperinvariant subspaces , Characteristic subspaces , Lattices
Copyrigths: Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
Source:
Linear Algebra and its Applications. (issn: 0024-3795 )
DOI: 10.1016/j.laa.2016.06.003
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.laa.2016.06.003
Project ID:
MINECO/MINECOG 2013
MINECO/MTM2013-40960-P
MINECO/MTM2015-65361-P
Gobierno Vasco/Eusko Jaurlaritza/GIC13/IT-710-13
Thanks:
The second author is partially supported by MINECO, grant MTM2015-65361-P and third author is partially supported by MINECO, grant MTM2013-40960-P, and by Gobierno Vasco, grant GIC13/IT-710-13.
Type: Artículo

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