Category:Sum of Convex Sets in Vector Space is Convex

This category contains pages concerning Sum of Convex Sets in Vector Space is Convex:

Let $\Bbb F \in \set {\R, \C}$.

Let $X$ be a vector space over $\Bbb F$.

Let $A$ and $B$ be convex subsets of $X$.

Then:

$A + B$ is convex.