SOME REMARKS ON THE ESSENTIAL SPECTRUM AN D APPLICATION TO TRANSPORT-EQUATION

Citation
A. Jeribi et K. Latrach, SOME REMARKS ON THE ESSENTIAL SPECTRUM AN D APPLICATION TO TRANSPORT-EQUATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(5), 1996, pp. 469-474
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
323
Issue
5
Year of publication
1996
Pages
469 - 474
Database
ISI
SICI code
0764-4442(1996)323:5<469:SROTES>2.0.ZU;2-8
Abstract
Using the concept of strictly singular operators, we give a characteri zation of the essential spectrum on L(p)-spaces. By means of the obtai ned results, we analyse the essential spectrum of the one-dimensional transport operator for wide classes of boundary and collision operator s.