Let $E$ be a non-empty subset of $\mathbb{R}^d$. Using the definitions of $E^+$ and $E^{++}$ from question 16, show that $E = E^{++}$ if and only if $E$ is a closed convex cone.
Let $E$ be a non-empty subset of $\mathbb{R}^d$. Using the definitions of $E^+$ and $E^{++}$ from question 16, show that $E = E^{++}$ if and only if $E$ is a closed convex cone.