M. Mokhtarkharroubi et M. Chabi, ON PERTURBATIONS OF POSITIVE C(0)(SEMI)GROUPS ON BANACH-LATTICES AND APPLICATIONS, Journal of mathematical analysis and applications, 202(3), 1996, pp. 843-861
We study the existence of wave operators, in terms of limiting absorpt
ion principles for a class positively perturbed positive (semi)groups
on Banach lattices. This work is a partial extension of the L(1) scatt
ering theory by M. Mokhtar-Kharroubi (J. Funct. Anal. 115, 1993, 119-1
45). An application to perturbed heat semigroups is given. (C) 1996 Ac
ademic Press, Inc.