Tempered Radon measures.
Tensor product of URM algbras
The Bourbaki integral as maximal integral
The Choquet integral representation in the affine vector-valued case.
The Finest Nachbin Topology is a Mixed Topology.
The Pełczyński property for some uniform algebras
The Radon measures as functionals on Lipschitz functions
The (sub/super)additivity assertion of Choquet
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 the proper...