A characterization of some subsets of Schechter's essential spectrum and application to singular transport equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:358

Article

Jeribi, Aref¹  Moalla, Nedra¹ 

[1] Univ Sfax, Phys Math Lab, Dept Math, Fac Sci Sfax, Sfax 3000, Tunisia

关键词: Essential spectra;    Fredholm perturbations;    Spectral mapping theorem;    Transport operator;   

DOI  :  10.1016/j.jmaa.2009.04.053

来源: Elsevier

【 摘 要 】

The purpose of this paper is to provide a detailed treatment of some subsets of Schechter's essential spectrum of closed, densely defined linear operators subjected to additive perturbations. Our results are used to describe the essential approximate point spectrum and the essential defect spectrum of singular neutron transport operators in bounded geometries. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free