Characterizations of dual of K-frames in quaternionic Hilbert spaces
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866911102180261888 |
|---|---|
| author | Shekhar, Chander |
| author_facet | Shekhar, Chander |
| contents | Dual of K-frames in a right quaternionic Hilbert space has been recently introduced and studied by Ellouz[1]. In this paper, we study duals of K-frames and prove a characterization of a K-dual in terms of the canonical K-dual of a K-frame in the case when the range of K is not necessarily closed. Moreover, we defined and studied the Approximate K- Dual of a K-frame in a right quaternionic Hilbert space and proved various results for their existence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_08263 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizations of dual of K-frames in quaternionic Hilbert spaces Shekhar, Chander Functional Analysis Dual of K-frames in a right quaternionic Hilbert space has been recently introduced and studied by Ellouz[1]. In this paper, we study duals of K-frames and prove a characterization of a K-dual in terms of the canonical K-dual of a K-frame in the case when the range of K is not necessarily closed. Moreover, we defined and studied the Approximate K- Dual of a K-frame in a right quaternionic Hilbert space and proved various results for their existence. |
| title | Characterizations of dual of K-frames in quaternionic Hilbert spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2508.08263 |