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Some new results on the weaving of K-g-frames in Hilbert spaces
- Source :
- Open Mathematics, Vol 19, Iss 1, Pp 1315-1329 (2021)
- Publication Year :
- 2021
- Publisher :
- De Gruyter, 2021.
-
Abstract
- In this paper, we provide some conditions for a K-woven pair of K-g-frames to be preserved under an operator and particularly, we report that applying two different operators to a K-woven pair of K-g-frames can leave them K-woven. Several new methods on the construction of K-woven pair of K-g-frames are also given. We end the paper with a new perturbation result on the weaving of K-g-frames, which shows that, under the perturbation condition involved in one known result on this topic, two K-g-frames can be K-woven in the whole space, not merely in the subspace Range(K).
- Subjects :
- k-g-frame
k-woven
perturbation
pseudo-inverse
42c15
47b40
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 19
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Open Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.5ae23e44d7847b68875b7476260f162
- Document Type :
- article
- Full Text :
- https://doi.org/10.1515/math-2021-0103