1.School of Mathematics and Natural Sciences,Bergische Universit?t Wuppertal,Wuppertal,Germany;2.P?dagogische Hochschule Vorarlberg,Feldkirch,Austria;3.Fachrichtung Mathematik,Technische Universit?t Dresden,Dresden,Germany
Abstract:
We consider positive perturbations of positive semigroups on AM-spaces and prove a result which is the dual counterpart of a famous perturbation result of Desch in AL-spaces. As an application we present unbounded perturbations of the shift semigroup.