Please use this identifier to cite or link to this item: http://hdl.handle.net/10662/10152
Title: Descent and essential descent spectrum of linear relations
Authors: Chafai, Ezzeddine
Mnif, Maher
Université de Sfax. Tunisia
Keywords: Descent
Essential descent
Spectrum
Linear relations
Descenso
Descenso esencial
Espectro
Relaciones lineales
Issue Date: 2014
Publisher: Universidad de Extremadura
Abstract: In this paper, we study the descent spectrum and the essential descent spectrum of linear relations everywhere defined on Banach spaces. We prove that the corresponding spectra are closed and we obtain that a Banach space X is finite dimensional if and only if the descent and the essential descent of every closed linear relation acting in X is finite. We give characterizations of the descent and the essential descent of linear relations and as applications, some perturbation results are presented.
URI: http://hdl.handle.net/10662/10152
Appears in Collections:Extracta Mathematicae Vol. 29, nº 1-2 (2014)

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