On Perturbations of Positive c Semi.Groups 0 on Banach Lattices and Applications

We study the existence of wave operators, in terms of limiting absorption principles for a class positively perturbed positive semi.groups on Banach lattices. This work is a partial extension of the L1 scattering theory by M. Mokhtar- Kharroubi J. Funct. Anal. 115, 1993, 119]145.. An application to perturbed heat semigroups is given