Sequences of measures on atomic subalgebras of <em>P</em>(N)

Original Articles

Sequences of measures on atomic subalgebras of P(N)

Published in: Quaestiones Mathematicae
Volume 30 , issue 3 , 2007 , pages: 381–389
DOI: 10.2989/16073600709486207
Author(s): Antonio Aizpuru , Antonio Gutiérrez-Dávila
Keywords: VECTOR MEASURES , AST-WEAK AND WEAK COMPACT SUBSET OF SCALAR SIGMA-ADDITIVE MEASURES , BOOLEAN ALGEBRAS
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Abstract

A vector form of Phillips' theorem, for atomic Boolean algebras with countably many atoms, is given. As a consequence we obtain a new characterization of weak compact sets of σ-additive measures.
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