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Results tagged with banach-spaces
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user 11768
A Banach space is a complete normed vector space: A vector space equipped with a norm such that every Cauchy sequence converges.
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Commutativity of convex hulls and closed balls
Let $X$ be a closed convex subset of a Banach space, and let $A\subseteq X$ be a Borel set. Denote
$$
B_r(A) :=\{y\in X:\exists x\in A \text{ such that }\|x-y\|\leq r\}
$$
and by $H(A)$ the convex hul …
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