Abstract:
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
Registro:
Documento: |
Artículo
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Título: | On the minimizers of the fusion frame potential |
Autor: | Heineken, S.B.; Llarena, J.P.; Morillas, P.M. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Pabellón I, Ciudad Universitaria, IMAS, UBA-CONICET, Buenos Aires, C1428EGA C.A.B.A., Argentina Instituto de Matemática Aplicada San Luis, UNSL-CONICET, Ejército de los Andes 950, San Luis, 5700, Argentina Departamento de Matemática, FCFMyN, UNSL, Ejército de los Andes 950, San Luis, 5700, Argentina
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Palabras clave: | Frames; fundamental inequality; fusion frame potential; fusion frames; irregularity; tight fusion frames |
Año: | 2018
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Volumen: | 291
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Número: | 4
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Página de inicio: | 669
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Página de fin: | 681
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DOI: |
http://dx.doi.org/10.1002/mana.201500493 |
Título revista: | Mathematische Nachrichten
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Título revista abreviado: | Math. Nachr.
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ISSN: | 0025584X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0025584X_v291_n4_p669_Heineken |
Referencias:
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Citas:
---------- APA ----------
Heineken, S.B., Llarena, J.P. & Morillas, P.M.
(2018)
. On the minimizers of the fusion frame potential. Mathematische Nachrichten, 291(4), 669-681.
http://dx.doi.org/10.1002/mana.201500493---------- CHICAGO ----------
Heineken, S.B., Llarena, J.P., Morillas, P.M.
"On the minimizers of the fusion frame potential"
. Mathematische Nachrichten 291, no. 4
(2018) : 669-681.
http://dx.doi.org/10.1002/mana.201500493---------- MLA ----------
Heineken, S.B., Llarena, J.P., Morillas, P.M.
"On the minimizers of the fusion frame potential"
. Mathematische Nachrichten, vol. 291, no. 4, 2018, pp. 669-681.
http://dx.doi.org/10.1002/mana.201500493---------- VANCOUVER ----------
Heineken, S.B., Llarena, J.P., Morillas, P.M. On the minimizers of the fusion frame potential. Math. Nachr. 2018;291(4):669-681.
http://dx.doi.org/10.1002/mana.201500493