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DC Field | Value | Language |
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dc.contributor.author | Garbouj, Zied | |
dc.contributor.author | Skhiri, Haïkel | |
dc.date.accessioned | 2019-03-06T11:48:05Z | |
dc.date.available | 2019-03-06T11:48:05Z | |
dc.date.issued | 2017 | |
dc.identifier.uri | http://hdl.handle.net/10662/8903 | |
dc.description.abstract | We 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.sponsorship | This work is supported by the Higher Education And Scientific Research In Tunisia, UR11ES52: Analyse, Géométrie et Applications | es_ES |
dc.format.extent | 37 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 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
dc.subject | Range subspace | es_ES |
dc.subject | Closed linear relation | es_ES |
dc.subject | Spectrum | es_ES |
dc.subject | Ascent | es_ES |
dc.subject | Essential ascent | es_ES |
dc.subject | Descent | es_ES |
dc.subject | Essential descent | es_ES |
dc.subject | Semi-Fredholm relation | es_ES |
dc.subject | Rango de subespacio | es_ES |
dc.subject | Relación lineal cerrada | es_ES |
dc.subject | Espectro | es_ES |
dc.subject | Ascenso | es_ES |
dc.subject | Ascenso esencial | es_ES |
dc.subject | Descenso | es_ES |
dc.subject | Descenso esencial | es_ES |
dc.subject | Relación semi-Fredholm | es_ES |
dc.title | Essential g-ascent and g-descent of a closed linear relation in Hilbert spaces | 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 | 1202.03 Álgebra y Espacios de Banach | es_ES |
dc.subject.unesco | 1202.14 Espacio de Hilbert | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Garbouj, 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 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Université de Monastir. Tunisie | fr_FR |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 125 | es_ES |
dc.identifier.publicationlastpage | 161 | es_ES |
dc.identifier.publicationvolume | 32 | es_ES |
dc.identifier.e-issn | 2605-5686 | |
Appears in Collections: | Extracta Mathematicae Vol. 32, nº 2 (2017) |
Files in This Item:
File | Description | Size | Format | |
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2605-5686_32_2_125.pdf | 205,68 kB | Adobe PDF | View/Open |
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