Scalable g-frame in Hilbert spaces
Tight frames and g-frames are extremely useful in applications. A scalable frame was recentlyintroduced as a frame with the property of generating a tight frame by rescaling its frame vectors. In thispaper, we generalize this concept to g-frames, introduce scalable g-frames, obtain some characteriza...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Qom University of Technology
2023-09-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_708059_54ba907ca09aebdeb12612c393679893.pdf |
| Summary: | Tight frames and g-frames are extremely useful in applications. A scalable frame was recentlyintroduced as a frame with the property of generating a tight frame by rescaling its frame vectors. In thispaper, we generalize this concept to g-frames, introduce scalable g-frames, obtain some characterizationsfor them, and demonstrate that scalability is stable under unitary operators and isomorophisms betweentwo Hilbert spaces. In addition, we consider Paley-Wiener perturbations of g-frames and achieve someresults regarding the preservation of their g-frame property. |
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| ISSN: | 2717-2708 |