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dc.contributor.authorGarbouj, Zied
dc.contributor.authorSkhiri, Haïkel
dc.date.accessioned2019-03-06T11:48:05Z
dc.date.available2019-03-06T11:48:05Z
dc.date.issued2017
dc.identifier.urihttp://hdl.handle.net/10662/8903
dc.description.abstractWe define and discuss for a closed linear relation in a Hilbert space the notions of essential g-ascent (resp. g-descent) and g-ascent (resp. g-descent) spectrums. We improve in the Hilbert space case some results given by E. Chafai in a Banach space [Acta Mathematica Sinica, 34 B, 1212-1224, 2014] and several results related to the ascent (resp. essential ascent) spectrum for a bounded linear operator on a Banach space [Studia Math, 187, 59-73, 2008] are extended to closed linear relations on Hilbert spaces. We prove also a decomposition theorem for closed linear relations with finite essential g-ascent or g-descent.es_ES
dc.description.sponsorshipThis work is supported by the Higher Education And Scientific Research In Tunisia, UR11ES52: Analyse, Géométrie et Applicationses_ES
dc.format.extent37 p.es_ES
dc.format.mimetypeapplication/pdfen_US
dc.language.isoenges_ES
dc.publisherUniversidad de Extremaduraes_ES
dc.rightsAttribution-NonCommercial 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/*
dc.subjectRange subspacees_ES
dc.subjectClosed linear relationes_ES
dc.subjectSpectrumes_ES
dc.subjectAscentes_ES
dc.subjectEssential ascentes_ES
dc.subjectDescentes_ES
dc.subjectEssential descentes_ES
dc.subjectSemi-Fredholm relationes_ES
dc.subjectRango de subespacioes_ES
dc.subjectRelación lineal cerradaes_ES
dc.subjectEspectroes_ES
dc.subjectAscensoes_ES
dc.subjectAscenso esenciales_ES
dc.subjectDescensoes_ES
dc.subjectDescenso esenciales_ES
dc.subjectRelación semi-Fredholmes_ES
dc.titleEssential g-ascent and g-descent of a closed linear relation in Hilbert spaceses_ES
dc.typearticlees_ES
dc.description.versionpeerReviewedes_ES
europeana.typeTEXTen_US
dc.rights.accessRightsopenAccesses_ES
dc.subject.unesco1202.03 Álgebra y Espacios de Banaches_ES
dc.subject.unesco1202.14 Espacio de Hilbertes_ES
europeana.dataProviderUniversidad de Extremadura. Españaes_ES
dc.identifier.bibliographicCitationGarbouj, Z., Skhiri, H. (2017) Essential g-ascent and g-descent of a closed linear relation in Hilbert spaces. Extracta Mathematicae 32 (2), 125-161. E-ISSN 2605-5686es_ES
dc.type.versionpublishedVersiones_ES
dc.contributor.affiliationUniversité de Monastir. Tunisiefr_FR
dc.identifier.publicationtitleExtracta Mathematicaees_ES
dc.identifier.publicationissue2es_ES
dc.identifier.publicationfirstpage125es_ES
dc.identifier.publicationlastpage161es_ES
dc.identifier.publicationvolume32es_ES
dc.identifier.e-issn2605-5686
Colección:Extracta Mathematicae Vol. 32, nº 2 (2017)

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