Geodesic
A General Hewitt-Yosida Decomposition
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1164-1169

Voir la notice de l'article provenant de la source Cambridge University Press

In 1952, E. Hewitt and K. Yosida [3] proved that a bounded, finitely additive real-valued set function has a unique representation as the sum of a countably additive function and a “purely finitely additive” function.Below, using a variation of the Carathéodory process we give a suitable generalization to s-bounded vector-valued set functions. In fact, since the methods do not rely on scalar multiplication, we give the result for commutative Hausdorff topological groups. 
Traynor, Tim. A General Hewitt-Yosida Decomposition. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1164-1169. doi: 10.4153/CJM-1972-124-4
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