Perturbed marked reduced forms of invariant subspaces
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Cita com:
hdl:2117/134342
Tipus de documentArticle
Data publicació2018-12-15
EditorElsevier
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
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Abstract
The classification of invariant subspaces is an open problem related to other important ones like the Carlson problem. Here we obtain a reduced form of these invariant subspaces as a new tool to tackle these problems. In particular, it allows us to prove quite easily partial results already known. The key point is assigning to each invariant subspace a marked one (its marked type) in order to partition the set of invariant subspaces in a finite number of subsets (the marked classes), each one containing only one marked subspace. Next, we parametrize (minimally) each marked class by means of the so-called PM reduced families, so that representatives of an invariant subspace (its PM reduced forms) appear in just one of these families.
CitacióCompta, A.; Ferrer, J.; Peña, M. Perturbed marked reduced forms of invariant subspaces. "Linear algebra and its applications", 15 Desembre 2018, vol. 559, p. 194-226.
ISSN0024-3795
Versió de l'editorhttps://www.sciencedirect.com/science/article/abs/pii/S0024379518304427
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invariants_2017_revised_second_2.pdf | 453,8Kb | Visualitza/Obre |