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dc.contributor.authorLombarkia, F.-
dc.contributor.authorZguitti, H.-
dc.date.accessioned2020-02-05T12:00:55Z-
dc.date.available2020-02-05T12:00:55Z-
dc.date.issued2013-
dc.identifier.urihttp://hdl.handle.net/10662/10276-
dc.description.abstractLet H be an infinite complex Hilbert space and consider two bounded linear operators A, B ∈ L(H). Let Lᴀ ∈ L(L(H)) and Rʙ ∈ L(L(H)) be the left and the right multiplication operators, respectively, and denote by dᴀ;ʙ ∈ L(L(H)) either the elementary operator Δᴀ;ʙ (X) = (Lᴀ Rʙ ̶ I)(X) = A X B ̶̶ X or the generalized derivation δᴀ, ʙ (X) = (Lᴀ ̶ Rʙ)(X) = AX ̶ XB. This paper is concerned with the problem of the transference of Browder’s theorem from operators A and B to their elementary operator dᴀ,ʙ. We give necessary and sufficient conditions for dᴀ,ʙ to satisfy Browder’s theorem. Some applications for completely hereditarily normaloid operators are given.es_ES
dc.format.extent12 p.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenges_ES
dc.publisherUniversidad de Extremaduraes_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBrowder’s theoremes_ES
dc.subjectElementary operatores_ES
dc.subjectHereditarily polaroid operatorses_ES
dc.subjectTeorema de Browderes_ES
dc.subjectOperador elementales_ES
dc.subjectOperadores polaroid hereditarioses_ES
dc.titleOn the Browder's theorem of an elementary operatores_ES
dc.typearticlees_ES
dc.description.versionpeerReviewedes_ES
europeana.typeTEXTen_US
dc.rights.accessRightsopenAccesses_ES
dc.subject.unesco1202.14 Espacio de Hilbertes_ES
dc.subject.unesco1202.01 Álgebra de Operadoreses_ES
europeana.dataProviderUniversidad de Extremadura. Españaes_ES
dc.identifier.bibliographicCitationLOMBARKIA, F., ZGUITTI, H. (2013). On the Browder's theorem of an elementary operator. Extracta Mathematicae 28 (2), 213-224. E-ISSN 2605-5686es_ES
dc.type.versionpublishedVersiones_ES
dc.contributor.affiliationUniversity of Batna. Algeriaen_US
dc.contributor.affiliationUniversity of Mohammed I. Moroccoen_US
dc.identifier.publicationtitleExtracta Mathematicaees_ES
dc.identifier.publicationissue2es_ES
dc.identifier.publicationfirstpage213es_ES
dc.identifier.publicationlastpage224es_ES
dc.identifier.publicationvolume28es_ES
dc.identifier.e-issn2605-5686-
Colección:Extracta Mathematicae Vol. 28, nº 2 (2013)

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