Perturbations of positive strongly continuous semigroups on AM spaces

Abstract

We give a definition for positivity on an extrapolation space for positive strongly continuous semigroups. We prove a perturbation result on AM spaces for positive semigroups by positive operators. Finally, we give an example for this kind of perturbations. (© 2016 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)