Spectral properties of the linear multiple scattering operator in L1-Banach lattices

Research paper by Andreas Huber

Indexed on: 01 Dec '83Published on: 01 Dec '83Published in: Integral Equations and Operator Theory


In this article the spectrum of the linear transport operator for a scattering system is studied. Because only positive solutions of the corresponding transport equation are physically meaningful, the concepts of Banach lattices and positive operators are used. The spectrum contains information about the asymptotic behavior for large times of the transport system.