Research Article

Order boundedness and order continuity properties of positive operator semigroups

Published in: Quaestiones Mathematicae
Volume 47 , issue sup1 , 2024 , pages: 153–168

DOI: 10.2989/16073606.2023.2287831

Author(s): Jochen Glück University of Wuppertal, School of Mathematics and Natural Sciences, Germany , Michael Kaplin Institute of Mathematics, Slovenija

Keywords: 47D06 , 47B65 , 46B42 , 46A40 , Ru-continuous semigroup , relatively uniform convergence , order convergence , maximal inequality , positive C ₀-semigroup

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Abstract

Relatively uniformly continuous (ruc) semigroups were recently introduced and studied by Kandic, Kramar-Fijavž, and the second-named author, in order to make the theory of one-parameter operator semigroups available in the setting of vector lattices, where no norm is present in general.

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