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

• Results about closed convex hulls can be found here.

Sources

• 2020: James C. Robinson: Introduction to Functional Analysis ... (previous) ... (next) $21.5$: The Convex Hull