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Campo DC | Valor | idioma |
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dc.contributor.author | Lombarkia, F. | - |
dc.contributor.author | Zguitti, H. | - |
dc.date.accessioned | 2020-02-05T12:00:55Z | - |
dc.date.available | 2020-02-05T12:00:55Z | - |
dc.date.issued | 2013 | - |
dc.identifier.uri | http://hdl.handle.net/10662/10276 | - |
dc.description.abstract | Let 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.extent | 12 p. | es_ES |
dc.format.mimetype | application/pdf | en_US |
dc.language.iso | eng | es_ES |
dc.publisher | Universidad de Extremadura | es_ES |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Browder’s theorem | es_ES |
dc.subject | Elementary operator | es_ES |
dc.subject | Hereditarily polaroid operators | es_ES |
dc.subject | Teorema de Browder | es_ES |
dc.subject | Operador elemental | es_ES |
dc.subject | Operadores polaroid hereditarios | es_ES |
dc.title | On the Browder's theorem of an elementary operator | es_ES |
dc.type | article | es_ES |
dc.description.version | peerReviewed | es_ES |
europeana.type | TEXT | en_US |
dc.rights.accessRights | openAccess | es_ES |
dc.subject.unesco | 1202.14 Espacio de Hilbert | es_ES |
dc.subject.unesco | 1202.01 Álgebra de Operadores | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | LOMBARKIA, F., ZGUITTI, H. (2013). On the Browder's theorem of an elementary operator. Extracta Mathematicae 28 (2), 213-224. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | University of Batna. Algeria | en_US |
dc.contributor.affiliation | University of Mohammed I. Morocco | en_US |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 213 | es_ES |
dc.identifier.publicationlastpage | 224 | es_ES |
dc.identifier.publicationvolume | 28 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 28, nº 2 (2013) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_28_2_213.pdf | 102 kB | Adobe PDF | Descargar |
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