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Order boundedness and order continuity properties of positive operator semigroups

Order boundedness and order continuity properties of positive operator semigroups

1AbstractRelatively 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.In this article, we return to the more standard Banach …