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http://hdl.handle.net/10662/8966
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Campo DC | Valor | idioma |
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dc.contributor.author | Chafai, Ezzeddine | - |
dc.contributor.author | Mnif, Maher | - |
dc.date.accessioned | 2019-03-19T08:45:07Z | - |
dc.date.available | 2019-03-19T08:45:07Z | - |
dc.date.issued | 2016 | - |
dc.identifier.uri | http://hdl.handle.net/10662/8966 | - |
dc.description.abstract | In the present paper, we study the ascent of a linear relation everywhere defined on a Banach space X and the related essential ascent spectrum. Some properties and characterization of such spectra are given. In particular, we show that a Banach space X is finite dimensional if and only if the ascent and the essential ascent of every closed linear relation in X is finite. As an application, we focus on the stability of the ascent and the essential ascent spectrum under perturbations. We prove that an operator F in X has some finite rank power, if and only if, σ_asc^e(T + F) = σ_asc^e (T), for every closed linear relation T commuting with F. | es_ES |
dc.format.extent | 23 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 | Ascent | es_ES |
dc.subject | Essential ascent | es_ES |
dc.subject | Perturbation | es_ES |
dc.subject | Spectrum | es_ES |
dc.subject | Linear relations | es_ES |
dc.subject | Ascenso | es_ES |
dc.subject | Ascenso esencial | es_ES |
dc.subject | Perturbación | es_ES |
dc.subject | Espectro | es_ES |
dc.subject | Relaciones lineales | es_ES |
dc.title | Ascent and essential ascent spectrum of linear relations | 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 | 1202.01 Álgebra de Operadores | es_ES |
europeana.dataProvider | Universidad de Extremadura. España | es_ES |
dc.identifier.bibliographicCitation | Chafai, E., Mnif. M. (2016). Ascent and essential ascent spectrum of linear relations. Extracta Mathematicae 31 (2), 145-167. E-ISSN 2605-5686 | es_ES |
dc.type.version | publishedVersion | es_ES |
dc.contributor.affiliation | Université de Sfax. Túnez | fr_FR |
dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
dc.identifier.publicationissue | 2 | es_ES |
dc.identifier.publicationfirstpage | 145 | es_ES |
dc.identifier.publicationlastpage | 167 | es_ES |
dc.identifier.publicationvolume | 31 | es_ES |
dc.identifier.e-issn | 2605-5686 | - |
Colección: | Extracta Mathematicae Vol. 31, nº 2 (2016) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_31_2_145.pdf | 152,03 kB | Adobe PDF | Descargar |
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