Weaving Frames in Hilbert C∗-Modules
In this paper, we investigate weaving frames in Hilbert C∗-modules. We show that the equivalence of woven and weakly woven frames is still true for modular frames under certain conditions. By using the analysis operators of frames and frame operators of canonical duals, we obtain several perturbatio...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2228397 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546079384535040 |
|---|---|
| author | Xin Zhao Pengtong Li |
| author_facet | Xin Zhao Pengtong Li |
| author_sort | Xin Zhao |
| collection | DOAJ |
| description | In this paper, we investigate weaving frames in Hilbert C∗-modules. We show that the equivalence of woven and weakly woven frames is still true for modular frames under certain conditions. By using the analysis operators of frames and frame operators of canonical duals, we obtain several perturbation results for given weaving frames and different weaving frame pairs. When the C∗-algebra is nonunital, we derive a correspondence of adjointable operators which is bounded below woven families. Finally, we discuss the redundancy of weaving frames in Hilbert C∗-modules. |
| format | Article |
| id | doaj-art-b64363246c5641ee9bf35859568c4594 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-b64363246c5641ee9bf35859568c45942025-02-03T07:24:00ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/22283972228397Weaving Frames in Hilbert C∗-ModulesXin Zhao0Pengtong Li1Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaDepartment of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaIn this paper, we investigate weaving frames in Hilbert C∗-modules. We show that the equivalence of woven and weakly woven frames is still true for modular frames under certain conditions. By using the analysis operators of frames and frame operators of canonical duals, we obtain several perturbation results for given weaving frames and different weaving frame pairs. When the C∗-algebra is nonunital, we derive a correspondence of adjointable operators which is bounded below woven families. Finally, we discuss the redundancy of weaving frames in Hilbert C∗-modules.http://dx.doi.org/10.1155/2021/2228397 |
| spellingShingle | Xin Zhao Pengtong Li Weaving Frames in Hilbert C∗-Modules Journal of Mathematics |
| title | Weaving Frames in Hilbert C∗-Modules |
| title_full | Weaving Frames in Hilbert C∗-Modules |
| title_fullStr | Weaving Frames in Hilbert C∗-Modules |
| title_full_unstemmed | Weaving Frames in Hilbert C∗-Modules |
| title_short | Weaving Frames in Hilbert C∗-Modules |
| title_sort | weaving frames in hilbert c∗ modules |
| url | http://dx.doi.org/10.1155/2021/2228397 |
| work_keys_str_mv | AT xinzhao weavingframesinhilbertcmodules AT pengtongli weavingframesinhilbertcmodules |