Strong continuity of invariant probability charges

Harald Luschgy, Sławomir Solecki

Research output: Contribution to journalArticlepeer-review

Abstract

Consider a semigroup action on a set. We derive conditions, in terms of the induced action of the semigroup on {0, 1}-valued probability charges, which ensure that all invariant probability charges are strongly continuous.

Original languageEnglish (US)
Pages (from-to)135-142
Number of pages8
JournalColloquium Mathematicum
Volume101
Issue number1
DOIs
StatePublished - 2004

Keywords

  • Invariant charges
  • Semigroup actions
  • Strongly continuous charges
  • Strongly nonatomic charges

ASJC Scopus subject areas

  • General Mathematics

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