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Uniformly continuous semigroups of sublinear transition operators

Published 14 Jun 2024 in math.FA and math.PR | (2406.09955v1)

Abstract: In this work I investigate uniformly continuous semigroups of sublinear transition operators on the Banach space of bounded real-valued functions on some countable set. I show how the family of exponentials of a bounded sublinear rate operator is such a semigroup, and how any such semigroup must be a family of exponentials generated by a bounded sublinear rate operator.

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