Mostrar el registro sencillo del ítem
dc.contributor.author
Massey, Pedro Gustavo
dc.contributor.author
Ruiz, Mariano Andres
dc.contributor.author
Stojanoff, Demetrio
dc.date.available
2020-03-19T18:21:08Z
dc.date.issued
2012-02
dc.identifier.citation
Massey, Pedro Gustavo; Ruiz, Mariano Andres; Stojanoff, Demetrio; Duality in reconstruction systems; Elsevier Science Inc; Linear Algebra and its Applications; 436; 3; 2-2012; 447-464
dc.identifier.issn
0024-3795
dc.identifier.uri
http://hdl.handle.net/11336/100297
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
DUAL RECONSTRUCTION SYSTEMS
dc.subject
FUSION FRAMES
dc.subject
RECONSTRUCTION SYSTEMS
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Duality in reconstruction systems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-02-18T16:01:49Z
dc.journal.volume
436
dc.journal.number
3
dc.journal.pagination
447-464
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Massey, Pedro Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Ruiz, Mariano Andres. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.description.fil
Fil: Stojanoff, Demetrio. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderón; Argentina
dc.journal.title
Linear Algebra and its Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.laa.2011.02.022
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1007.0430
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S002437951100142X
Archivos asociados