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
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.