Oblique projections and frames
- Autores
- Antezana, Jorge Abel; Corach, Gustavo; Ruiz, Mariano Andrés; Stojanoff, Demetrio
- Año de publicación
- 2006
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Frames
Oblique projections - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/83137
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Oblique projections and framesAntezana, Jorge AbelCorach, GustavoRuiz, Mariano AndrésStojanoff, DemetrioCiencias ExactasFramesOblique projectionsWe 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.Facultad de Ciencias Exactas2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1031-1037http://sedici.unlp.edu.ar/handle/10915/83137enginfo:eu-repo/semantics/altIdentifier/issn/0002-9939info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-05-08143-8info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:15:45Zoai:sedici.unlp.edu.ar:10915/83137Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:15:46.142SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Oblique projections and frames |
title |
Oblique projections and frames |
spellingShingle |
Oblique projections and frames Antezana, Jorge Abel Ciencias Exactas Frames Oblique projections |
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 |
dc.creator.none.fl_str_mv |
Antezana, Jorge Abel Corach, Gustavo Ruiz, Mariano Andrés Stojanoff, Demetrio |
author |
Antezana, Jorge Abel |
author_facet |
Antezana, Jorge Abel Corach, Gustavo Ruiz, Mariano Andrés Stojanoff, Demetrio |
author_role |
author |
author2 |
Corach, Gustavo Ruiz, Mariano Andrés Stojanoff, Demetrio |
author2_role |
author author author |
dc.subject.none.fl_str_mv |
Ciencias Exactas Frames Oblique projections |
topic |
Ciencias Exactas Frames Oblique projections |
dc.description.none.fl_txt_mv |
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. Facultad de Ciencias Exactas |
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. |
publishDate |
2006 |
dc.date.none.fl_str_mv |
2006 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/83137 |
url |
http://sedici.unlp.edu.ar/handle/10915/83137 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0002-9939 info:eu-repo/semantics/altIdentifier/doi/10.1090/S0002-9939-05-08143-8 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) |
dc.format.none.fl_str_mv |
application/pdf 1031-1037 |
dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
reponame_str |
SEDICI (UNLP) |
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SEDICI (UNLP) |
instname_str |
Universidad Nacional de La Plata |
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UNLP |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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13.070432 |