To access the full text documents, please follow this link: http://hdl.handle.net/2117/134342

Title:	Perturbed marked reduced forms of invariant subspaces
Author:	Compta Creus, Albert; Ferrer Llop, Josep; Peña Carrera, Marta
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Vector spaces -Endomorphisms (Group theory) -Endomorphism -invariant subspaces -marked subspaces -Espais vectorials -Endomorfismes (Teoria de grups) -Classificació AMS::15 Linear and multilinear algebra; matrix theory -Classificació AMS::93 Systems Theory; Control::93B Controllability, observability, and system structure
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Published by:	Elsevier
Share:

Show full item record