The Radon-Nikodym Theorem for Multimeasures
Anca Croitoru1978, Proceedings of the Edinburgh Mathematical Society
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Abstract
Let (S, ℳ) be a measurable space (that is, a set S in which is defined a σ-algebra ℳ of subsets) and X a locally convex space. A map M from ℳ to the family of all non-empty subsets of X is called a multimeasure iff for every sequence of disjoint sets An ɛ ℳ (n=1,2,… )with the series converges (in the sense of (6), p. 3) to M(A).
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