A short proof of the Arendt-Chernoff-Kato theorem
arXiv:1308.3263 · doi:10.1007/s00013-013-0543-y
Abstract
We give a short new proof of the Arendt-Chernoff-Kato theorem, which characterizes generators of positive C0 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.
arXiv comment4 pages, no figures