Dominated convergence theorems in Haagerup noncommutative Lp -spaces

Turdebek N. Bekjan, Manat Mustafa

Research output: Contribution to journalArticlepeer-review


Let M be a σ-finite von Neumann algebra and T: M→ M be a linear bounded positive map under some natural conditions. We obtain that if (xn)n≥1 is a sequence in M converging to x almost uniformly and (xn)n≥1 satisfies certain domination condition, then (T(xn))n≥1 converges to T(x) almost uniformly.

Original languageEnglish
Article number34
JournalAdvances in Operator Theory
Issue number2
Publication statusPublished - Apr 2023


  • Almost uniform convergence
  • Dominated convergence
  • Haagerup noncommutative L-spaces

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory


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