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Displaying similar documents to “Daniell-Greco-Stone representation type theorem for autocontinuous from above functionals.”

The (sub/super)additivity assertion of Choquet

Heinz König (2003)

Studia Mathematica

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The assertion in question comes from the short final section in Theory of capacities of Choquet (1953/54), in connection with his prototype of the subsequent Choquet integral. The problem was whether and when this operation is additive. Choquet had the much more abstract idea that all functionals in a certain wide class must be subadditive, and similarly for superadditivity. His treatment of this point was more like an outline, and his proof limited to a rather narrow special case. Thus...