New double inequalities for g-frames in Hilbert [Formula: see text] -modules

In this work, we establish two types of double inequalities for g-frames in Hilbert [Formula: see text] -modules, which involve scalars [Formula: see text] and [Formula: see text] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when t...

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Detalles Bibliográficos
Autor principal: Xiang, Zhong-Qi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4938831/
https://www.ncbi.nlm.nih.gov/pubmed/27441144
http://dx.doi.org/10.1186/s40064-016-2731-2
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author Xiang, Zhong-Qi
author_facet Xiang, Zhong-Qi
author_sort Xiang, Zhong-Qi
collection PubMed
description In this work, we establish two types of double inequalities for g-frames in Hilbert [Formula: see text] -modules, which involve scalars [Formula: see text] and [Formula: see text] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking [Formula: see text] .
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spelling pubmed-49388312016-07-20 New double inequalities for g-frames in Hilbert [Formula: see text] -modules Xiang, Zhong-Qi Springerplus Research In this work, we establish two types of double inequalities for g-frames in Hilbert [Formula: see text] -modules, which involve scalars [Formula: see text] and [Formula: see text] respectively. It is shown that the results we obtained can immediately lead to the existing corresponding results when taking [Formula: see text] . Springer International Publishing 2016-07-08 /pmc/articles/PMC4938831/ /pubmed/27441144 http://dx.doi.org/10.1186/s40064-016-2731-2 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
Xiang, Zhong-Qi
New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title_full New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title_fullStr New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title_full_unstemmed New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title_short New double inequalities for g-frames in Hilbert [Formula: see text] -modules
title_sort new double inequalities for g-frames in hilbert [formula: see text] -modules
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4938831/
https://www.ncbi.nlm.nih.gov/pubmed/27441144
http://dx.doi.org/10.1186/s40064-016-2731-2
work_keys_str_mv AT xiangzhongqi newdoubleinequalitiesforgframesinhilbertformulaseetextmodules

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