On the minimizers of the fusion frame potential

We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperator...

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Autores principales: Heineken, S.B., Llarena, J.P., Morillas, P.M.
Formato: JOUR
Materias:
Frames
fundamental inequality
fusion frame potential
fusion frames
irregularity
tight fusion frames
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p669_Heineken
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0025584X_v291_n4_p669_Heineken
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spelling todo:paper_0025584X_v291_n4_p669_Heineken2023-10-03T14:36:21Z On the minimizers of the fusion frame potential Heineken, S.B. Llarena, J.P. Morillas, P.M. Frames fundamental inequality fusion frame potential fusion frames irregularity tight fusion frames We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperators of the fusion frame operator. This result will be related to the existence of tight fusion frames. In this way we generalize results known for the classical vector frame potential. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p669_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 Frames
fundamental inequality
fusion frame potential
fusion frames
irregularity
tight fusion frames
spellingShingle Frames
fundamental inequality
fusion frame potential
fusion frames
irregularity
tight fusion frames
Heineken, S.B.
Llarena, J.P.
Morillas, P.M.
On the minimizers of the fusion frame potential
topic_facet Frames
fundamental inequality
fusion frame potential
fusion frames
irregularity
tight fusion frames
description We study the minimizers of the fusion frame potential in the case that both the weights and the dimensions of the subspaces are fixed and not necessarily equal. Using a concept of irregularity we provide a description of the local (that are also global) minimizers which projections are eigenoperators of the fusion frame operator. This result will be related to the existence of tight fusion frames. In this way we generalize results known for the classical vector frame potential. © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
format JOUR
author Heineken, S.B.
Llarena, J.P.
Morillas, P.M.
author_facet Heineken, S.B.
Llarena, J.P.
Morillas, P.M.
author_sort Heineken, S.B.
title On the minimizers of the fusion frame potential
title_short On the minimizers of the fusion frame potential
title_full On the minimizers of the fusion frame potential
title_fullStr On the minimizers of the fusion frame potential
title_full_unstemmed On the minimizers of the fusion frame potential
title_sort on the minimizers of the fusion frame potential
url http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p669_Heineken
work_keys_str_mv AT heinekensb ontheminimizersofthefusionframepotential
AT llarenajp ontheminimizersofthefusionframepotential
AT morillaspm ontheminimizersofthefusionframepotential
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