Let A be a Boolean algebra and G a complete Hausdorff topological commutative group. We present some properties which A and G have necessarily to fulfil for every finitely additive function from A to G to be the pointwise limit of strongly continuous and exhaustive finitely additive functions.
Some consequences of a density theorem in measure theory
CAVALIERE, Paola;
2011
Abstract
Let A be a Boolean algebra and G a complete Hausdorff topological commutative group. We present some properties which A and G have necessarily to fulfil for every finitely additive function from A to G to be the pointwise limit of strongly continuous and exhaustive finitely additive functions.File in questo prodotto:
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