Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules
The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames and relay fusion frames in Hilbert spaces to...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/5920210 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832547931578695680 |
|---|---|
| author | Xiujiao Chi Guoqing Hong Pengtong Li |
| author_facet | Xiujiao Chi Guoqing Hong Pengtong Li |
| author_sort | Xiujiao Chi |
| collection | DOAJ |
| description | The relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames and relay fusion frames in Hilbert spaces to relay fusion frames in Hilbert C∗-modules. In addition, we generalize some perturbation results in frame theory to relay fusion frames in Hilbert C∗-modules. Finally, we introduce a class of F,G-relay fusion frames as a generalization of K-frames and present some perturbation results for F,G-relay fusion frames in Hilbert C∗-modules. |
| format | Article |
| id | doaj-art-912bbc1e8b914e40a37514f00dc6ebb1 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-912bbc1e8b914e40a37514f00dc6ebb12025-02-03T06:42:57ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/5920210Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-ModulesXiujiao Chi0Guoqing Hong1Pengtong Li2School of MathematicsSchool of ScienceSchool of MathematicsThe relay fusion frame proposed by Hong and Li is an extension of a fusion frame that has many applications in science. In this study, we introduce relay fusion frames in Hilbert C∗-modules very naturally and shift some common attributes of fusion frames and relay fusion frames in Hilbert spaces to relay fusion frames in Hilbert C∗-modules. In addition, we generalize some perturbation results in frame theory to relay fusion frames in Hilbert C∗-modules. Finally, we introduce a class of F,G-relay fusion frames as a generalization of K-frames and present some perturbation results for F,G-relay fusion frames in Hilbert C∗-modules.http://dx.doi.org/10.1155/2023/5920210 |
| spellingShingle | Xiujiao Chi Guoqing Hong Pengtong Li Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules Journal of Mathematics |
| title | Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules |
| title_full | Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules |
| title_fullStr | Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules |
| title_full_unstemmed | Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules |
| title_short | Some Generalizations of Relay Fusion Frames and F,G-Relay Fusion Frames in Hilbert C∗-Modules |
| title_sort | some generalizations of relay fusion frames and f g relay fusion frames in hilbert c∗ modules |
| url | http://dx.doi.org/10.1155/2023/5920210 |
| work_keys_str_mv | AT xiujiaochi somegeneralizationsofrelayfusionframesandfgrelayfusionframesinhilbertcmodules AT guoqinghong somegeneralizationsofrelayfusionframesandfgrelayfusionframesinhilbertcmodules AT pengtongli somegeneralizationsofrelayfusionframesandfgrelayfusionframesinhilbertcmodules |