Sequences of measures on atomic subalgebras of P(N)

  • Antonio Aizpuru Departamento de Matem&#224ticas, Universidad de C&#224diz, Apdo. 40, 11510-Puerto Real (C&#224diz), Spain
  • Antonio Gutierrez-D´avila Departamento de Matem&#224ticas, Universidad de C´adiz, Apdo. 40, 11510-Puerto Real (C´adiz), Spain
Keywords: Vector measures, &#8727-weak and weak compact subset of scalar &#963-additive measures,

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.

Quaestiones Mathematicae 30(2007), 381–389
Published
2007-10-10
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606