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

Author: Mokhtar-Kharroubi M.   Chabi M.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.202, Iss.3, 1996-09, pp. : 843-861

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Abstract

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 L 1 scattering theory by M. Mokhtar-Kharroubi ( J. Funct. Anal. 115 , 1993, 119-145). An application to perturbed heat semigroups is given.