Stability of Woven Frames
This article studies the stability of woven frames by introducing some special limits. We show that there exist certain relations among the different types of convergence of frames and obtain some new and more general stability results. As an application of these results, we provide a method for con...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-06-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.873955/full |
| _version_ | 1811344504523849728 |
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| author | Xue-Bin Li Yu-Can Zhu |
| author_facet | Xue-Bin Li Yu-Can Zhu |
| author_sort | Xue-Bin Li |
| collection | DOAJ |
| description | This article studies the stability of woven frames by introducing some special limits. We show that there exist certain relations among the different types of convergence of frames and obtain some new and more general stability results. As an application of these results, we provide a method for constructing woven frames. |
| first_indexed | 2024-04-13T19:49:17Z |
| format | Article |
| id | doaj.art-80dd3d6935534eea85de7ac60fff9650 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-13T19:49:17Z |
| publishDate | 2022-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-80dd3d6935534eea85de7ac60fff96502022-12-22T02:32:37ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-06-011010.3389/fphy.2022.873955873955Stability of Woven FramesXue-Bin Li0Yu-Can Zhu1Department of Mathematics and Statistics, Zhoukou Normal University, Zhoukou, ChinaDepartment of Mathematics and Computer Science, Fuzhou University, Fuzhou, ChinaThis article studies the stability of woven frames by introducing some special limits. We show that there exist certain relations among the different types of convergence of frames and obtain some new and more general stability results. As an application of these results, we provide a method for constructing woven frames.https://www.frontiersin.org/articles/10.3389/fphy.2022.873955/fullframeswoven framesconvergence of framesstabilityweaving frames |
| spellingShingle | Xue-Bin Li Yu-Can Zhu Stability of Woven Frames Frontiers in Physics frames woven frames convergence of frames stability weaving frames |
| title | Stability of Woven Frames |
| title_full | Stability of Woven Frames |
| title_fullStr | Stability of Woven Frames |
| title_full_unstemmed | Stability of Woven Frames |
| title_short | Stability of Woven Frames |
| title_sort | stability of woven frames |
| topic | frames woven frames convergence of frames stability weaving frames |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.873955/full |
| work_keys_str_mv | AT xuebinli stabilityofwovenframes AT yucanzhu stabilityofwovenframes |