Some Generalizations of Frames in Hilbert Modules
Frames play significant role in various areas of science and engineering. In this paper, we introduce the concept of frames for the set of all adjointable operators from ℋ to K and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules.
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/5522671 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566008718557184 |
|---|---|
| author | Mohamed Rossafi Samir Kabbaj |
| author_facet | Mohamed Rossafi Samir Kabbaj |
| author_sort | Mohamed Rossafi |
| collection | DOAJ |
| description | Frames play significant role in various areas of science and engineering. In this paper, we introduce the concept of frames for the set of all adjointable operators from ℋ to K and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules. |
| format | Article |
| id | doaj-art-917a1e0164f84850aaa1b62a4eee9932 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-917a1e0164f84850aaa1b62a4eee99322025-02-03T01:05:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252021-01-01202110.1155/2021/55226715522671Some Generalizations of Frames in Hilbert ModulesMohamed Rossafi0Samir Kabbaj1LASMA Laboratory Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoDepartment of Mathematics, Faculty of Sciences, University of Ibn Tofail, B.P. 133, Kenitra, MoroccoFrames play significant role in various areas of science and engineering. In this paper, we introduce the concept of frames for the set of all adjointable operators from ℋ to K and their generalizations. Moreover, we obtain some new results for generalized frames in Hilbert modules.http://dx.doi.org/10.1155/2021/5522671 |
| spellingShingle | Mohamed Rossafi Samir Kabbaj Some Generalizations of Frames in Hilbert Modules International Journal of Mathematics and Mathematical Sciences |
| title | Some Generalizations of Frames in Hilbert Modules |
| title_full | Some Generalizations of Frames in Hilbert Modules |
| title_fullStr | Some Generalizations of Frames in Hilbert Modules |
| title_full_unstemmed | Some Generalizations of Frames in Hilbert Modules |
| title_short | Some Generalizations of Frames in Hilbert Modules |
| title_sort | some generalizations of frames in hilbert modules |
| url | http://dx.doi.org/10.1155/2021/5522671 |
| work_keys_str_mv | AT mohamedrossafi somegeneralizationsofframesinhilbertmodules AT samirkabbaj somegeneralizationsofframesinhilbertmodules |