Uniformly continuous semigroups of sublinear transition operators
Functional Analysis
2024-06-17 v1 Probability
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.
Cite
@article{arxiv.2406.09955,
title = {Uniformly continuous semigroups of sublinear transition operators},
author = {Alexander Erreygers},
journal= {arXiv preprint arXiv:2406.09955},
year = {2024}
}