Properties of finite dual fusion frames

A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real or complex Hilbert space, reinforcing the idea that this concept of duality so...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Heineken, S.B., Morillas, P.M.
Formato: JOUR
Materias:
Dual fusion frames
Erasures
Frames
Fusion frames
G-frames
Optimal dual fusion frames
Projective reconstruction systems
Linear algebra
Mathematical techniques
Projective reconstruction
Optimization
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00243795_v453_n_p1_Heineken
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00243795_v453_n_p1_Heineken
record_format dspace
spelling todo:paper_00243795_v453_n_p1_Heineken2023-10-03T14:34:47Z Properties of finite dual fusion frames Heineken, S.B. Morillas, P.M. Dual fusion frames Erasures Frames Fusion frames G-frames Optimal dual fusion frames Projective reconstruction systems Linear algebra Mathematical techniques Erasures Frames Fusion frames G-frames Projective reconstruction Optimization A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real or complex Hilbert space, reinforcing the idea that this concept of duality solves the question about an appropriate definition of dual fusion frames. It is shown that for overcomplete fusion frames there always exist duals different from the canonical one. Conditions that assure the uniqueness of duals are given. The relation of dual fusion frame systems with dual frames and dual projective reconstruction systems is established. Optimal dual fusion frames for the reconstruction in case of erasures of subspaces, and optimal dual fusion frame systems for the reconstruction in case of erasures of local frame vectors are determined. Examples that illustrate the obtained results are exhibited. © 2014 Elsevier B.V. All rights reserved. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00243795_v453_n_p1_Heineken
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Dual fusion frames
Erasures
Frames
Fusion frames
G-frames
Optimal dual fusion frames
Projective reconstruction systems
Linear algebra
Mathematical techniques
Erasures
Frames
Fusion frames
G-frames
Projective reconstruction
Optimization
spellingShingle Dual fusion frames
Erasures
Frames
Fusion frames
G-frames
Optimal dual fusion frames
Projective reconstruction systems
Linear algebra
Mathematical techniques
Erasures
Frames
Fusion frames
G-frames
Projective reconstruction
Optimization
Heineken, S.B.
Morillas, P.M.
Properties of finite dual fusion frames
topic_facet Dual fusion frames
Erasures
Frames
Fusion frames
G-frames
Optimal dual fusion frames
Projective reconstruction systems
Linear algebra
Mathematical techniques
Erasures
Frames
Fusion frames
G-frames
Projective reconstruction
Optimization
description A new notion of dual fusion frame has been recently introduced by the authors. In this article that notion is further motivated and it is shown that it is suitable to deal with questions posed in a finite-dimensional real or complex Hilbert space, reinforcing the idea that this concept of duality solves the question about an appropriate definition of dual fusion frames. It is shown that for overcomplete fusion frames there always exist duals different from the canonical one. Conditions that assure the uniqueness of duals are given. The relation of dual fusion frame systems with dual frames and dual projective reconstruction systems is established. Optimal dual fusion frames for the reconstruction in case of erasures of subspaces, and optimal dual fusion frame systems for the reconstruction in case of erasures of local frame vectors are determined. Examples that illustrate the obtained results are exhibited. © 2014 Elsevier B.V. All rights reserved.
format JOUR
author Heineken, S.B.
Morillas, P.M.
author_facet Heineken, S.B.
Morillas, P.M.
author_sort Heineken, S.B.
title Properties of finite dual fusion frames
title_short Properties of finite dual fusion frames
title_full Properties of finite dual fusion frames
title_fullStr Properties of finite dual fusion frames
title_full_unstemmed Properties of finite dual fusion frames
title_sort properties of finite dual fusion frames
url http://hdl.handle.net/20.500.12110/paper_00243795_v453_n_p1_Heineken
work_keys_str_mv AT heinekensb propertiesoffinitedualfusionframes
AT morillaspm propertiesoffinitedualfusionframes
_version_ 1807316830690213888

Ejemplares similares