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

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Does an uncountable convex combination of elements of a set lie in the convex hull of the se...

Suppose that $\mathcal{F}$ is a finite-dimensional vector space and that $C\subseteq\mathcal{F}$ is a convex subset of $\mathcal{F}$. Is it true that an uncountable convex-combination of elements of $ …
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