Abstract
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.
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Koshkin, S. A short proof of the Arendt-Chernoff-Kato theorem. Arch. Math. 101, 143–147 (2013). https://doi.org/10.1007/s00013-013-0543-y
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DOI: https://doi.org/10.1007/s00013-013-0543-y