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dc.date.accessioned | 2019-10-24T17:59:28Z | |
dc.date.available | 2019-10-24T17:59:28Z | |
dc.date.issued | 2012 | |
dc.identifier.uri | http://sedici.unlp.edu.ar/handle/10915/84020 | |
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. | en |
dc.format.extent | 447-464 | es |
dc.language | en | es |
dc.subject | Dual reconstruction systems | es |
dc.subject | Fusion frames | es |
dc.subject | Reconstruction systems | es |
dc.title | Duality in reconstruction systems | en |
dc.type | Articulo | es |
sedici.identifier.other | doi:10.1016/j.laa.2011.02.022 | es |
sedici.identifier.other | eid:2-s2.0-80655127679 | es |
sedici.identifier.issn | 0024-3795 | es |
sedici.creator.person | Massey, Pedro Gustavo | es |
sedici.creator.person | Ruiz, Mariano Andrés | es |
sedici.creator.person | Stojanoff, Demetrio | es |
sedici.subject.materias | Ciencias Exactas | es |
sedici.subject.materias | Matemática | es |
sedici.description.fulltext | true | es |
mods.originInfo.place | Facultad de Ciencias Exactas | es |
sedici.subtype | Articulo | es |
sedici.rights.license | Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) | |
sedici.rights.uri | http://creativecommons.org/licenses/by-nc-sa/4.0/ | |
sedici.description.peerReview | peer-review | es |
sedici.relation.journalTitle | Linear Algebra and Its Applications | es |
sedici.relation.journalVolumeAndIssue | vol. 436, no. 3 | es |
sedici.rights.sherpa | * Color: verde* Pre-print del autor: si* Post-print del autor: si* Versión de editor/PDF:no* Condiciones:>>Authors pre-print on any website, including arXiv and RePEC>>Author's post-print on author's personal website immediately>>Author's post-print on open access repository after an embargo period of between |