Résumé

This paper is devoted to the investigation of the stability of the various essential spectra of closed densely defined linear operators under perturbations belonging to any two-sided ideal of the algebra of bounded linear operators contained in the set of Fredholm perturbations. Our results generalize many known ones in the literature and, in particular, extend and unify those obtained by K. Latrach (1999, J. Math. Anal. Appl.233, 607–623) and K. Latrach and A. Jeribi (1998, J. Math. Anal. Appl.225, 461–485). They are used to describe the essential spectra of one-dimensional transport equations with anisotropic scattering and abstract boundary conditions.

Information

Item Type:	Journal
Divisions:	» Faculté des Sciences et de la Technologie
ePrint ID:	239
Date Deposited:	2014-12-19
Further Information:	Google Scholar
URI:	https://www.univ-soukahras.dz/fr/publication/article/239

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