A short proof of the Arendt-Chernoff-Kato theorem
Functional Analysis
2013-08-16 v1
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.
Keywords
Cite
@article{arxiv.1308.3263,
title = {A short proof of the Arendt-Chernoff-Kato theorem},
author = {Sergiy Koshkin},
journal= {arXiv preprint arXiv:1308.3263},
year = {2013}
}
Comments
4 pages, no figures