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dc.date.accessioned 2020-08-10T19:01:39Z
dc.date.available 2020-08-10T19:01:39Z
dc.date.issued 2010-08
dc.identifier.uri http://sedici.unlp.edu.ar/handle/10915/101839
dc.description.abstract In this paper we study the fusion frame potential that is a generalization of the Benedetto-Fickus (vectorial) frame potential to the finite-dimensional fusion frame setting. We study the structure of local and global minimizers of this potential, when restricted to suitable sets of fusion frames. These minimizers are related to tight fusion frames as in the classical vector frame case. Still, tight fusion frames are not as frequent as tight frames; indeed we show that there are choices of parameters involved in fusion frames for which no tight fusion frame can exist.We exhibit necessary and sufficient conditions for the existence of tight fusion frames with prescribed parameters, involving the so-called Horn-Klyachko’s compatibility inequalities. The second part of the work is devoted to the study of the minimization of the fusion frame potential on a fixed sequence of subspaces, with a varying sequence of weights. We related this problem to the index of the Hadamard product by positive matrices and use it to give different characterizations of these minima. en
dc.format.extent 514-543 es
dc.language en es
dc.subject Fusion frames es
dc.subject Frame potential es
dc.subject Majorization es
dc.subject Hadamard product es
dc.title The structure of minimizers of the frame potential on fusion frames en
dc.type Articulo es
sedici.identifier.uri https://ri.conicet.gov.ar/11336/19425 es
sedici.identifier.other http://dx.doi.org/10.1007/s00041-009-9098-5 es
sedici.identifier.other arXiv:0811.3159 es
sedici.identifier.other hdl:11336/19425 es
sedici.identifier.issn 1069-5869 es
sedici.creator.person Massey, Pedro Gustavo es
sedici.creator.person Ruiz, Mariano Andrés es
sedici.creator.person Stojanoff, Demetrio es
sedici.subject.materias Matemática es
sedici.description.fulltext true es
mods.originInfo.place Facultad de Ciencias Exactas es
mods.originInfo.place Consejo Nacional de Investigaciones Científicas y Técnicas es
sedici.subtype Preprint 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 Journal of Fourier Analysis and Applications es
sedici.relation.journalVolumeAndIssue vol. 16, no. 4 es


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Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)