Title of article :
Some remarks on the Schechter essential
spectrum and applications
to transport equations
Aref Jeribi، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
The purpose of this article is to provide an extension of the work [A. Jeribi, J. Math.
Anal. Appl. 271 (2002) 343–358] where a detailed treatment of the Schechter essential
spectrum of a closed densely defined linear operators A subjected to additive perturbations
K such that (λ−A)−1K or K(λ−A)−1 belonging to arbitrary subsets of L(X) (where X
denotes a Banach spaces) contained in the ideal of Fredholm perturbations. Our approach
consists principally in considering the class of A-closable (not necessarily bounded) which
contained in the set of A-resolvent Fredholm perturbations (see Definition 1.12). They are
used to describe the Schechter essential spectrum of singular neutron transport equations
in bounded geometries.
2002 Elsevier Science (USA). All rights reserved.
Journal title :
Journal of Mathematical Analysis and Applications