Ergodic averages with vector-valued Besicovitch weights

Doǧan Çömez, Semyon Litvinov

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

For a von Neumann algebra M, we introduce M-valued Besicovitch sequences and study the norm and individual convergences of the corresponding weighted ergodic averages. The limits of the averages are examined under the condition that the contraction in question is weakly mixing.

Original languageEnglish (US)
Pages (from-to)27-46
Number of pages20
JournalPositivity
Volume17
Issue number1
DOIs
StatePublished - Mar 1 2013

All Science Journal Classification (ASJC) codes

  • Analysis
  • Theoretical Computer Science
  • Mathematics(all)

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