ON PERTURBATIONS OF POSITIVE C(0)(SEMI)GROUPS ON BANACH-LATTICES AND APPLICATIONS

Citation
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
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
ISSN journal
0022247X
Volume
202
Issue
3
Year of publication
1996
Pages
843 - 861
Database
ISI
SICI code
0022-247X(1996)202:3<843:OPOPCO>2.0.ZU;2-Q
Abstract
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.