Characterization and stability of approximately dual g-frames in Hilbert spaces

This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames. Second, we give results on stability of approximately dual g-frames, which cover the results obtained...

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Detalles Bibliográficos
Autores principales: Fu, Yan-Ling, Zhang, Wei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063346/
https://www.ncbi.nlm.nih.gov/pubmed/30137920
http://dx.doi.org/10.1186/s13660-018-1779-7
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author Fu, Yan-Ling
Zhang, Wei
author_facet Fu, Yan-Ling
Zhang, Wei
author_sort Fu, Yan-Ling
collection PubMed
description This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames. Second, we give results on stability of approximately dual g-frames, which cover the results obtained by other authors.
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spelling pubmed-60633462018-08-09 Characterization and stability of approximately dual g-frames in Hilbert spaces Fu, Yan-Ling Zhang, Wei J Inequal Appl Research This paper addresses approximately dual g-frames. First, we establish a connection between approximately dual g-frames and dual g-frames and obtain a characterization of approximately dual g-frames. Second, we give results on stability of approximately dual g-frames, which cover the results obtained by other authors. Springer International Publishing 2018-07-27 2018 /pmc/articles/PMC6063346/ /pubmed/30137920 http://dx.doi.org/10.1186/s13660-018-1779-7 Text en © The Author(s) 2018 Open Access This 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
Fu, Yan-Ling
Zhang, Wei
Characterization and stability of approximately dual g-frames in Hilbert spaces
title Characterization and stability of approximately dual g-frames in Hilbert spaces
title_full Characterization and stability of approximately dual g-frames in Hilbert spaces
title_fullStr Characterization and stability of approximately dual g-frames in Hilbert spaces
title_full_unstemmed Characterization and stability of approximately dual g-frames in Hilbert spaces
title_short Characterization and stability of approximately dual g-frames in Hilbert spaces
title_sort characterization and stability of approximately dual g-frames in hilbert spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6063346/
https://www.ncbi.nlm.nih.gov/pubmed/30137920
http://dx.doi.org/10.1186/s13660-018-1779-7
work_keys_str_mv AT fuyanling characterizationandstabilityofapproximatelydualgframesinhilbertspaces
AT zhangwei characterizationandstabilityofapproximatelydualgframesinhilbertspaces

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