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On some subsets of Schechter's essential spectrum of a matrix operator and application to transport operator

✍ Scribed by Naouel Ben Ali; Aref Jeribi; Nedra Moalla

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
141 KB
Volume
283
Category
Article
ISSN
0025-584X

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✦ Synopsis

This paper is devoted to the investigation of the essential approximate point spectrum and the essential defect spectrum of a 2 Γ— 2 block operator matrix on a product of Banach spaces. The obtained results are applied to a two-group transport operators with general boundary conditions in the Banach space Lp ([-a, a

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## Abstract In this paper we investigate the essential spectra of the sum of two bounded linear operators defined on a Banach space by means of the essential spectra of each of the two operators where their products are Fredholm or semi‐Fredholm perturbations. Furthermore, we give an application to