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Finite Rank and Small Perturbations of Linear Relations

Authors:	Ezzeddine?Chafai author-information" > author-information__contact u-icon-before" > mailto:ezzeddine.chafai@ipeis.rnu.tn" title=" ezzeddine.chafai@ipeis.rnu.tn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Teresa?álvarez

Affiliation:	1.Department of Mathematics,Prince Sattam Bin Abdulaziz University,Al-Kharj,Saudi Arabia;2.Department of Mathematics, Faculty of Sciences of Sfax,University of Sfax,Sfax,Tunisia;3.Department of Mathematics,University of Oviedo,Oviedo,Spain

Abstract:	In this paper, we investigate the stability of regular, semi-Fredholm, finite essential ascent and finite essential descent linear relations under small and commuting finite rank perturbations as well as the behavior of the nullity, the defect and the index under such perturbations.

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