Some new inequalities for continuous fusion frames and fusion pairs

This paper addresses continuous fusion frames and fusion pairs which are extensions of discrete fusion frames and continuous frames. The study of equalities and inequalities for various frames has seen great achievements. In this paper, using operator methods we establish some new inequalities for c...

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Detalles Bibliográficos
Autores principales: Zhang, Wei, Li, Yun-Zhang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5028377/
https://www.ncbi.nlm.nih.gov/pubmed/27652173
http://dx.doi.org/10.1186/s40064-016-3284-0
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author Zhang, Wei
Li, Yun-Zhang
author_facet Zhang, Wei
Li, Yun-Zhang
author_sort Zhang, Wei
collection PubMed
description This paper addresses continuous fusion frames and fusion pairs which are extensions of discrete fusion frames and continuous frames. The study of equalities and inequalities for various frames has seen great achievements. In this paper, using operator methods we establish some new inequalities for continuous fusion frames and fusion pairs. Our results extend and improve ones obtained by Balan, Casazza and Găvruţa.
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spelling pubmed-50283772016-09-20 Some new inequalities for continuous fusion frames and fusion pairs Zhang, Wei Li, Yun-Zhang Springerplus Research This paper addresses continuous fusion frames and fusion pairs which are extensions of discrete fusion frames and continuous frames. The study of equalities and inequalities for various frames has seen great achievements. In this paper, using operator methods we establish some new inequalities for continuous fusion frames and fusion pairs. Our results extend and improve ones obtained by Balan, Casazza and Găvruţa. Springer International Publishing 2016-09-19 /pmc/articles/PMC5028377/ /pubmed/27652173 http://dx.doi.org/10.1186/s40064-016-3284-0 Text en © The Author(s) 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
Zhang, Wei
Li, Yun-Zhang
Some new inequalities for continuous fusion frames and fusion pairs
title Some new inequalities for continuous fusion frames and fusion pairs
title_full Some new inequalities for continuous fusion frames and fusion pairs
title_fullStr Some new inequalities for continuous fusion frames and fusion pairs
title_full_unstemmed Some new inequalities for continuous fusion frames and fusion pairs
title_short Some new inequalities for continuous fusion frames and fusion pairs
title_sort some new inequalities for continuous fusion frames and fusion pairs
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5028377/
https://www.ncbi.nlm.nih.gov/pubmed/27652173
http://dx.doi.org/10.1186/s40064-016-3284-0
work_keys_str_mv AT zhangwei somenewinequalitiesforcontinuousfusionframesandfusionpairs
AT liyunzhang somenewinequalitiesforcontinuousfusionframesandfusionpairs

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