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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Detalles Bibliográficos
Publicado:	2018
Materias:	Frames fundamental inequality fusion frame potential fusion frames irregularity tight fusion frames
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p669_Heineken 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	paper:paper_0025584X_v291_n4_p669_Heineken
record_format	dspace
spelling	paper:paper_0025584X_v291_n4_p669_Heineken2023-06-08T14:53:22Z On the minimizers of the fusion frame potential 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 2018 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p669_Heineken 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 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
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
publishDate	2018
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p669_Heineken http://hdl.handle.net/20.500.12110/paper_0025584X_v291_n4_p669_Heineken
_version_	1768542304494157824

On the minimizers of the fusion frame potential

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