A note on perturbations of fusion frames

In this work, we consider some relationships between a closed range operator T and a fusion frame W=(Wi,wi)i∈I for a Hilbert space H that provides that the sequence (T(Wi)‾,vi)i∈I is a fusion frame sequence for H, if we consider a suitable family of weights {vi}i∈I. This (sufficient) condition gener...

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Detalles Bibliográficos
Autores principales: Calderón, Pablo Luis, Ruiz, Mariano Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2018
Materias:
Matemática
Angle between subspaces
Fusion frames
Linear perturbation of fusion frames
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/98700
https://ri.conicet.gov.ar/11336/87433
https://arxiv.org/abs/1709.06872
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-98700
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Angle between subspaces
Fusion frames
Linear perturbation of fusion frames
spellingShingle Matemática
Angle between subspaces
Fusion frames
Linear perturbation of fusion frames
Calderón, Pablo Luis
Ruiz, Mariano Andrés
A note on perturbations of fusion frames
topic_facet Matemática
Angle between subspaces
Fusion frames
Linear perturbation of fusion frames
description In this work, we consider some relationships between a closed range operator T and a fusion frame W=(Wi,wi)i∈I for a Hilbert space H that provides that the sequence (T(Wi)‾,vi)i∈I is a fusion frame sequence for H, if we consider a suitable family of weights {vi}i∈I. This (sufficient) condition generalizes some previous work in the subject.
format Articulo
Preprint
author Calderón, Pablo Luis
Ruiz, Mariano Andrés
author_facet Calderón, Pablo Luis
Ruiz, Mariano Andrés
author_sort Calderón, Pablo Luis
title A note on perturbations of fusion frames
title_short A note on perturbations of fusion frames
title_full A note on perturbations of fusion frames
title_fullStr A note on perturbations of fusion frames
title_full_unstemmed A note on perturbations of fusion frames
title_sort note on perturbations of fusion frames
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/98700
https://ri.conicet.gov.ar/11336/87433
https://arxiv.org/abs/1709.06872
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