A characterization of the Radon-Nikodym property

Robert Deville, Óscar Madiedo

Research output: Contribution to journalArticlepeer-review


It is well known that every bounded below and non-increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Procházka.

Original languageEnglish (US)
Pages (from-to)252-258
Number of pages7
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Sep 1 2013


  • Point-slice game
  • Radon-Nikodym property characterization

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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