Category:Minkowski Functional of Open Convex Set in Normed Vector Space is Sublinear Functional

This category contains pages concerning Minkowski Functional of Open Convex Set in Normed Vector Space is Sublinear Functional:

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

Let $C$ be an open convex subset of $X$ with $0 \in C$.

Let $p_C$ be the Minkowski functional for $C$.

Then $p_C$ is a sublinear functional.