Duality in reconstruction systems

We consider reconstruction systems (RS's), which are G-frames in a finite dimensional setting, and that includes the fusion frames as projective RS's. We describe the spectral picture of the set of RS operators for the projective systems with fixed weights. We also introduce a functional d...

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Autores principales: Massey, Pedro Gustavo, Ruiz, Mariano Andrés, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Matemática
Dual reconstruction systems
Fusion frames
Reconstruction systems
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84020
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84020
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Dual reconstruction systems
Fusion frames
Reconstruction systems
spellingShingle Ciencias Exactas
Matemática
Dual reconstruction systems
Fusion frames
Reconstruction systems
Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
Duality in reconstruction systems
topic_facet Ciencias Exactas
Matemática
Dual reconstruction systems
Fusion frames
Reconstruction systems
description We consider reconstruction systems (RS's), which are G-frames in a finite dimensional setting, and that includes the fusion frames as projective RS's. We describe the spectral picture of the set of RS operators for the projective systems with fixed weights. We also introduce a functional defined on dual pairs of RS's, called the joint potential, and study the structure of the minimizers of this functional. In the case of irreducible RS's the minimizers are characterize as the tight systems. In the general case we give spectral and geometric characterizations of the minimizers of the joint potential. At the end of the paper we show several examples that illustrate our results.
format Articulo
Articulo
author Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_facet Massey, Pedro Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_sort Massey, Pedro Gustavo
title Duality in reconstruction systems
title_short Duality in reconstruction systems
title_full Duality in reconstruction systems
title_fullStr Duality in reconstruction systems
title_full_unstemmed Duality in reconstruction systems
title_sort duality in reconstruction systems
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84020
work_keys_str_mv AT masseypedrogustavo dualityinreconstructionsystems
AT ruizmarianoandres dualityinreconstructionsystems
AT stojanoffdemetrio dualityinreconstructionsystems
bdutipo_str Repositorios
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