Convergence in the dual of a s-complete C*-algebra

J. K. Brooks, John David Maitland Wright

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 languageEnglish
Pages (from-to)141-146
Number of pages5
JournalJournal of Mathematical Analysis and Applications
Volume294
Issue number1
DOIs
Publication statusPublished - 2004

Cite this

Convergence in the dual of a s-complete C*-algebra. / Brooks, J. K.; Wright, John David Maitland.

In: Journal of Mathematical Analysis and Applications, Vol. 294, No. 1, 2004, p. 141-146.

Research output: Contribution to journalArticle

Brooks, J. K. ; Wright, John David Maitland. / Convergence in the dual of a s-complete C*-algebra. In: Journal of Mathematical Analysis and Applications. 2004 ; Vol. 294, No. 1. pp. 141-146.
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