| dc.creator | Benharrat, Mohammed | |
| dc.creator | Hocine, Kouider Miloud | |
| dc.creator | Messirdi, Bekkai | |
| dc.date | 2019-12-15 | |
| dc.date.accessioned | 2020-01-06T17:47:48Z | |
| dc.date.available | 2020-01-06T17:47:48Z | |
| dc.identifier | https://www.revistaproyecciones.cl/article/view/2957 | |
| dc.identifier | 10.22199/issn.0717-6279-2019-05-0058 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/122169 | |
| dc.description | In this paper, we give some characterizations of the left and right generalized Drazin invertible bounded operators in Banach spaces by means of the single-valued extension property (SVEP). In particular, we show that a bounded operator is left (resp. right) generalized Drazin invertible if and only if admits a generalized Kato decomposition and has the SVEP at 0 (resp. it admits a generalized Kato decomposition and its adjoint has the SVEP at 0. In addition, we prove that both of the left and the right generalized Drazin operators are invariant under additive commuting finite rank perturbations. Furthermore, we investigate the transmission of some local spectral properties from a bounded linear operator, as the SVEP, Dunford property (C), and property (β), to its generalized Drazin inverse. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | https://www.revistaproyecciones.cl/article/view/2957/3300 | |
| dc.rights | Derechos de autor 2019 Mohammed Benharrat, Kouider Miloud Hocine, Bekkai Messirdi | es-ES |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 5 (2019); 897-919 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 5 (2019); 897-919 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.subject | Left and right generalized Drazin invertible operators | en-US |
| dc.subject | Generalized Drazin invertible operators | en-US |
| dc.subject | SVEP | en-US |
| dc.subject | Local spectral theory | en-US |
| dc.title | Left and right generalized Drazin invertible operators and local spectral theory | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
| dc.type | text | en-US |
