Some equalities and inequalities for fusion frames

Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional frames. In this paper, we give some equalities and inequalities for fusion frames. Our results...

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Detalles Bibliográficos
Autores principales: Guo, Qianping, Leng, Jinsong, Li, Houbiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751108/
https://www.ncbi.nlm.nih.gov/pubmed/26904390
http://dx.doi.org/10.1186/s40064-016-1685-8
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author Guo, Qianping
Leng, Jinsong
Li, Houbiao
author_facet Guo, Qianping
Leng, Jinsong
Li, Houbiao
author_sort Guo, Qianping
collection PubMed
description Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional frames. In this paper, we give some equalities and inequalities for fusion frames. Our results generalize and improve the remarkable results which have been obtained by Balan, Casazza and Gǎvruta etc.
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spelling pubmed-47511082016-02-22 Some equalities and inequalities for fusion frames Guo, Qianping Leng, Jinsong Li, Houbiao Springerplus Research Fusion frames have some properties similar to those of frames in Hilbert spaces, but not all of their properties are similar. Some authors have established some equalities and inequalities for conventional frames. In this paper, we give some equalities and inequalities for fusion frames. Our results generalize and improve the remarkable results which have been obtained by Balan, Casazza and Gǎvruta etc. Springer International Publishing 2016-02-12 /pmc/articles/PMC4751108/ /pubmed/26904390 http://dx.doi.org/10.1186/s40064-016-1685-8 Text en © Guo et al. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Guo, Qianping
Leng, Jinsong
Li, Houbiao
Some equalities and inequalities for fusion frames
title Some equalities and inequalities for fusion frames
title_full Some equalities and inequalities for fusion frames
title_fullStr Some equalities and inequalities for fusion frames
title_full_unstemmed Some equalities and inequalities for fusion frames
title_short Some equalities and inequalities for fusion frames
title_sort some equalities and inequalities for fusion frames
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4751108/
https://www.ncbi.nlm.nih.gov/pubmed/26904390
http://dx.doi.org/10.1186/s40064-016-1685-8
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