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arXiv · 1308.3263

A short proof of the Arendt-Chernoff-Kato theorem

Sergiy Koshkin
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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.

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Sergiy Koshkin. 2013-08-14. A short proof of the Arendt-Chernoff-Kato theorem. https://doi.org/10.1007/s00013-013-0543-y

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