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Scalability of Generalized Frames for Operators
- Source :
- Journal of Function Spaces, Vol 2024 (2024)
- Publication Year :
- 2024
- Publisher :
- Wiley, 2024.
-
Abstract
- In this paper, the Parseval K-g-frames are constructed from a given K-g-frame by scaling the elements of the K-g-frame with the help of diagonal operators, and these frames are named scalable K-g-frames. Also, we prove some properties of scalable K-g-frames and construct new scalable K-g-frames from a given K-g-frame. The necessary and sufficient conditions for a K-g-frame to be scalable are given. Further, equivalent conditions for the scalability of K-g-frames and the K-frames induced by K-g-frames are obtained. Finally, it is shown that the direct sum of two scalable K-g-frames is again a scalable K-g-frame for some suitable bounded linear operator K.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23148888
- Volume :
- 2024
- Database :
- Directory of Open Access Journals
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.9b4cd4f4b1ba4aba913fbf81f3050ee5
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2024/8358987