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Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory.

1 vote

How to show that there's a continuous function separating convex sets of Radon measures?

The answer by corserine is somehow invalid here. The Hahn-Banach theorem states that there exists a linear operator in the dual space of $C(X)^*$ that separates the closed convex set and the point out …
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