The RAGE theorem in Banach spaces

A generalization of the so called RAGE theorems from scattering theory in Hilbėrt spaces to a more general class of uniformly boundedC ₀-semigroups on Banach spaces is given. The extension is based on the notion of weak almost periodicity (in the sense of Eberlein). This research is based on parts of Chapter 3 of the author’s dissertation at Essen University. The work of the author was supported by the Deutsche Forschungsgemeinschaft (DFG).