A note on order bounded vector measures (Q1337793)

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scientific article; zbMATH DE number 687057
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English
A note on order bounded vector measures
scientific article; zbMATH DE number 687057

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    A note on order bounded vector measures (English)
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    13 November 1994
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    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.
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    countable additive vector measures
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    values in Banach lattices
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    duality theory of Banach lattices and order bounded operators
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    order continuity
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