Conditional expectations and martingales in noncommutative Lp-spaces associated with center-valued traces

Inomjon GANIEV, Farrukh MUKHAMEDOV

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper we prove the existence of conditional expectations in the noncommutative Lp(M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative Lp(M,Φ)-spaces.

Original languageEnglish
Pages (from-to)1019-1032
Number of pages14
JournalActa Mathematica Scientia
Volume37
Issue number4
DOIs
Publication statusPublished - Jul 2017

Keywords

  • Banach-Kantorovich space
  • conditional expectation
  • martingale
  • measurable
  • measurable bundle
  • noncommutative L(M,Φ)-space

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy

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