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Strong metrizability for closed operators and the semi-Fredholm operators between two Hilbert spaces

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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.identifier.issn 2291-8639
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/11101
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.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


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