Strong metrizability for closed operators and the semi-Fredholm operators between two Hilbert spaces
| dc.contributor.author | Benharrat, Mohammed | |
| dc.contributor.author | Messirdi, Bekkai | |
| dc.date.accessioned | 2019-06-24T10:26:16Z | |
| dc.date.available | 2019-06-24T10:26:16Z | |
| dc.date.issued | 2015-08-11 | |
| dc.description.abstract | To be able to refine the completion of C (H1, H2), the of set all closed densely defined linear operators between two Hilbert spaces H1 and H2, we define in this paper some new strictly stronger metrics than the gap metric g and we characterize the closure with respect to theses metrics of the subset L (H1, H2) of bounded elements of C (H1, H2). In addition, several operator norm inequalities concerning the equivalence of some metrics on L (H1, H2) are presented. We also establish the semi-Fredholmness and Fredholmness of unbounded in terms of bounded pure contractions. | en_US |
| dc.identifier.issn | 2291-8639 | |
| dc.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/11101 | |
| dc.publisher | International Journal of Analysis and Applications | en_US |
| dc.subject | Pure contractions | en_US |
| dc.subject | Closed densely de ned linear operators | en_US |
| dc.subject | The gap metric | en_US |
| dc.subject | The gap topology | en_US |
| dc.subject | Semi-Fredholm operators | en_US |
| dc.title | Strong metrizability for closed operators and the semi-Fredholm operators between two Hilbert spaces | en_US |
| dc.type | Article | en_US |