A note on order bounded vector measures
The authors consider countable additive vector measures on \(\sigma\)- algebras of subsets with values in Banach lattices. The duality theory of Banach lattices and order bounded operators is used. The authors show that countable additivity of such measures is equivalent with certain order continuity properties of the associated operators.
duality theory of Banach lattices and order bounded operators
scientific article; zbMATH DE number 687057
scientific article