# Hahn-Banach theorem (geometric form)

Let $E$ be a locally convex space $A,B\subset E$, two convex, nonempty and disjoint sets. Suppose that $A$ is closed and $B$ is compact. Then there is a hyperplane which strictly separates $A$ and $B$.

Title Hahn-Banach theorem (geometric form) HahnBanachTheoremgeometricForm 2013-03-22 15:15:09 2013-03-22 15:15:09 azdbacks4234 (14155) azdbacks4234 (14155) 8 azdbacks4234 (14155) Theorem msc 46H05 HyperplaneSeparation