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Some stronger topologies for closed operators in Hilbert space

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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.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/11023
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.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


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