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Hahn-Banach theorem (geometric form) (Theorem)

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$.



"Hahn-Banach theorem (geometric form)" is owned by georgiosl.
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See Also: hyperplane separation
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Cross-references: strictly, hyperplane, compact, closed, disjoint, convex

This is version 5 of Hahn-Banach theorem (geometric form), born on 2005-05-10, modified 2006-10-12.
Object id is 7034, canonical name is HahnBanachgeometricFormTheorem.
Accessed 2130 times total.

Classification:
AMS MSC: 46H05 (Functional analysis :: Topological algebras, normed rings and algebras, Banach algebras :: General theory of topological algebras)
Pending Errata and Addenda
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