# 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) |
---|---|

Canonical name | HahnBanachTheoremgeometricForm |

Date of creation | 2013-03-22 15:15:09 |

Last modified on | 2013-03-22 15:15:09 |

Owner | azdbacks4234 (14155) |

Last modified by | azdbacks4234 (14155) |

Numerical id | 8 |

Author | azdbacks4234 (14155) |

Entry type | Theorem |

Classification | msc 46H05 |

Related topic | HyperplaneSeparation |