Definition:Closed Convex Hull

Definition
Let $\struct {X, \norm \cdot}$ be a normed vector space over $\R$.

Let $U \subseteq X$.

We define the closed convex hull of $U$ as the closure of the convex hull of $U$ in $\struct {X, \norm \cdot}$.

Also see

 * Closed Convex Hull in Normed Vector Space is Convex