Some stronger topologies for closed operators in Hilbert space
| dc.contributor.author | Djellouli, Ghouti | |
| dc.contributor.author | Messirdi, Sanaa | |
| dc.contributor.author | Messirdi, Bekkai | |
| dc.date.accessioned | 2019-06-20T11:52:18Z | |
| dc.date.available | 2019-06-20T11:52:18Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | The purpose of this paper is to introduce some new metrics on the set C(H) of closed densely defined operators on a Hilbert space H and we characterize the closure of the subset of bounded elements of C(H) for these metrics. We define the notion of quotient-convergence in C(H) and we show that the toplogy induced by quotient-convergence is strictly stronger than the topology induced from the gap metric. Mathematics Subject Classification: 47A45, 47A65 | en_US |
| dc.identifier.uri | http://e-biblio.univ-mosta.dz/handle/123456789/11023 | |
| dc.publisher | Int. J. Contemp. Math. Sciences | en_US |
| dc.subject | Closed operators | en_US |
| dc.subject | Almost Closed Operators | en_US |
| dc.subject | Gap metric | en_US |
| dc.subject | Quotientconvergence | en_US |
| dc.title | Some stronger topologies for closed operators in Hilbert space | en_US |
| dc.type | Article | en_US |