A short proof of the Arendt-Chernoff-Kato theorem

摘要

We give a short new proof of the Arendt-Chernoff-Kato theorem, which characterizes generators of positive C _0 semigroups in order unit spaces. The proof avoids half-norms and subdifferentials and is based on a sufficient condition for an operator to have positive inverse, which is new even for matrices.