# Russo-Dye theorem

Let $A$ be a unital ${C}^{*}$-algebra. Then the unit ball of $A$ is the closed convex hull^{} of the unitaries^{} in $A$. Moreover, these unitary elements^{} are extreme points^{} of the unit ball.

Title | Russo-Dye theorem |
---|---|

Canonical name | RussoDyeTheorem |

Date of creation | 2013-03-22 16:01:52 |

Last modified on | 2013-03-22 16:01:52 |

Owner | aube (13953) |

Last modified by | aube (13953) |

Numerical id | 4 |

Author | aube (13953) |

Entry type | Theorem |

Classification | msc 47A60 |