## Abstract

Let B be a monotone sigma-complete C*-algebra. Let (mu(n)) (n = 1, 2,...) be a sequence in the dual of B such that lim mu(n) (p) exists for each projection p. We prove that the sequence must converge weakly. As an application, we obtain a non-commutative generalisation of the Brooks-Jewett Theorem. (C) 2004 Elsevier Inc. All rights reserved.

Original language | English |
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Pages (from-to) | 141-146 |

Number of pages | 5 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 294 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2004 |

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