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...

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Autores principales: Antezana, J., Corach, G., Ruiz, M., Stojanoff, D.
Formato: JOUR
Materias:
Frames
Oblique projections
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029939_v134_n4_p1031_Antezana
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00029939_v134_n4_p1031_Antezana
record_format dspace
spelling todo:paper_00029939_v134_n4_p1031_Antezana2023-10-03T13:55:08Z Oblique projections and frames Antezana, J. Corach, G. Ruiz, M. Stojanoff, D. Frames Oblique projections 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. ©2005 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029939_v134_n4_p1031_Antezana
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Frames
Oblique projections
spellingShingle Frames
Oblique projections
Antezana, J.
Corach, G.
Ruiz, M.
Stojanoff, D.
Oblique projections and frames
topic_facet 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. ©2005 American Mathematical Society.
format JOUR
author Antezana, J.
Corach, G.
Ruiz, M.
Stojanoff, D.
author_facet Antezana, J.
Corach, G.
Ruiz, M.
Stojanoff, D.
author_sort Antezana, J.
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
url http://hdl.handle.net/20.500.12110/paper_00029939_v134_n4_p1031_Antezana
work_keys_str_mv AT antezanaj obliqueprojectionsandframes
AT corachg obliqueprojectionsandframes
AT ruizm obliqueprojectionsandframes
AT stojanoffd obliqueprojectionsandframes
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