Duality in reconstruction systems
- Autores
- Massey, Pedro Gustavo; Ruiz, Mariano Andrés; Stojanoff, Demetrio
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Matemática
Dual reconstruction systems
Fusion frames
Reconstruction systems - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/84020
Ver los metadatos del registro completo
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Duality in reconstruction systemsMassey, Pedro GustavoRuiz, Mariano AndrésStojanoff, DemetrioCiencias ExactasMatemáticaDual reconstruction systemsFusion framesReconstruction systemsWe 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.Facultad de Ciencias Exactas2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf447-464http://sedici.unlp.edu.ar/handle/10915/84020enginfo:eu-repo/semantics/altIdentifier/issn/0024-3795info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2011.02.022info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:16:05Zoai:sedici.unlp.edu.ar:10915/84020Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:16:05.522SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Duality in reconstruction systems |
| title |
Duality in reconstruction systems |
| spellingShingle |
Duality in reconstruction systems Massey, Pedro Gustavo Ciencias Exactas Matemática Dual reconstruction systems Fusion frames 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 |
| dc.creator.none.fl_str_mv |
Massey, Pedro Gustavo Ruiz, Mariano Andrés Stojanoff, Demetrio |
| author |
Massey, Pedro Gustavo |
| author_facet |
Massey, Pedro Gustavo Ruiz, Mariano Andrés Stojanoff, Demetrio |
| author_role |
author |
| author2 |
Ruiz, Mariano Andrés Stojanoff, Demetrio |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Matemática Dual reconstruction systems Fusion frames Reconstruction systems |
| topic |
Ciencias Exactas Matemática Dual reconstruction systems Fusion frames Reconstruction systems |
| dc.description.none.fl_txt_mv |
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. Facultad de Ciencias Exactas |
| 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. |
| publishDate |
2012 |
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2012 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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publishedVersion |
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http://sedici.unlp.edu.ar/handle/10915/84020 |
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http://sedici.unlp.edu.ar/handle/10915/84020 |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/0024-3795 info:eu-repo/semantics/altIdentifier/doi/10.1016/j.laa.2011.02.022 |
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info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
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application/pdf 447-464 |
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