Abstract
We prove versions of the Feller-Miyadera-Phillips theorem characterizing the generators of positive \_C\_0- and \_C\_0\*-semigroups on ordered Banach spaces, for which the norm and dual norm are monotonic. Two proofs are given. The first is based on half-norm theory whilst the second exploits the existence of an equivalent Riesz norm. This latter norm exists if, and only if, the positive cone is normal and generating.
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