Relatively Uniformly Continuous Semigroups on Vector Lattices

2018/07/06 by Kandić, Marko, Kaplin, Michael
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1807.02543

Abstract

In this paper we study continuous semigroups of positive operators on general vector lattices equipped with the relative uniform topology τ_ru. We introduce the notions of strong continuity with respect to τ_ru and relative uniform continuity for semigroups. These notions allow us to study semigroups on non-locally convex spaces such as L^p(ℝ) for 0

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