A short proof of the Arendt-Chernoff-Kato theorem
classification
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proofarendt-chernoff-katopositiveshorttheoremavoidscharacterizescondition
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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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