Oblique projections and frames

We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 ≤ A ≤ B are of this type. This gives a generalization of a result o...

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Detalles Bibliográficos
Autores principales: Antezana, Jorge Abel, Corach, Gustavo, Ruiz, Mariano Andrés, Stojanoff, Demetrio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Ciencias Exactas
Frames
Oblique projections
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/83137
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-83137
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Frames
Oblique projections
spellingShingle Ciencias Exactas
Frames
Oblique projections
Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
Oblique projections and frames
topic_facet Ciencias Exactas
Frames
Oblique projections
description We characterize those frames on a Hilbert space H which can be represented as the image of an orthonormal basis by an oblique projection defined on an extension K of H. We show that all frames with infinite excess and frame bounds 1 ≤ A ≤ B are of this type. This gives a generalization of a result of Han and Larson which only holds for normalized tight frames.
format Articulo
Articulo
author Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_facet Antezana, Jorge Abel
Corach, Gustavo
Ruiz, Mariano Andrés
Stojanoff, Demetrio
author_sort Antezana, Jorge Abel
title Oblique projections and frames
title_short Oblique projections and frames
title_full Oblique projections and frames
title_fullStr Oblique projections and frames
title_full_unstemmed Oblique projections and frames
title_sort oblique projections and frames
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/83137
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AT corachgustavo obliqueprojectionsandframes
AT ruizmarianoandres obliqueprojectionsandframes
AT stojanoffdemetrio obliqueprojectionsandframes
bdutipo_str Repositorios
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