| dc.creator | El Idrissi, Nizar | |
| dc.creator | Kabbaj, Samir | |
| dc.creator | Moalige, Brahim | |
| dc.date | 2022-09-13 | |
| dc.date.accessioned | 2022-11-15T12:36:55Z | |
| dc.date.available | 2022-11-15T12:36:55Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4043 | |
| dc.identifier | 10.22199/issn.0717-6279-4043 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/215660 | |
| dc.description | We propose in this article some characterizations of the notion of frame in ℓ²(I; H). The first one is general, and depends on a procedure of inserting a family of vectors instead of x in the definition of a frame. This allows us to define the analysis, synthesis and frame operator on the space ℓ²(I; H) instead of H. The second one is specific to ℓ² (I; Ck) and relate it to the freeness of the finite set of components of the frame. The third one concerns normalised tight frames in ℓ²(I; Ck). Afterwards, we give an example of a frame in ℓ²(I; C²) using another sufficient condition in dimension 2. We conclude with some topological applications of these characterizations. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4043/4136 | |
| dc.rights | Copyright (c) 2022 Nizar El Idrissi, Samir Kabbaj, Brahim Moalige | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 41 No. 5 (2022); 1141-1152 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 41 Núm. 5 (2022); 1141-1152 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2022-05 | |
| dc.subject | frames | en-US |
| dc.subject | general topological properties | en-US |
| dc.subject | 42C15 | en-US |
| dc.subject | 54D99 | en-US |
| dc.title | Some characterizations of frames in ℓ²(I; H) and topological applications | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
| dc.type | text | en-US |
