Convergence presque uniforme dans le théorème ergodique de Dunford–Schwartz non commutatif

Translated title of the contribution: Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem

Research output: Contribution to journalArticle

Abstract

This article gives an affirmative solution to the problem whether the ergodic Cesáro averages generated by a positive Dunford–Schwartz operator in a noncommutative space Lp(M,τ), 1≤p<∞ converge almost uniformly (in Egorov's sense). This problem goes back to the original paper of Yeadon [21], published in 1977, where bilaterally almost uniform convergence of these averages was established for p=1.

Original languageFrench
Pages (from-to)977-980
Number of pages4
JournalComptes Rendus Mathematique
Volume355
Issue number9
DOIs
StatePublished - Sep 1 2017

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Almost Convergence
Ergodic Theorem
Uniform convergence
Noncommutative Lp-spaces
Ergodic Averages
Positive Operator
Converge

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Convergence presque uniforme dans le théorème ergodique de Dunford–Schwartz non commutatif. / Litvinov, Semyon.

In: Comptes Rendus Mathematique, Vol. 355, No. 9, 01.09.2017, p. 977-980.

Research output: Contribution to journalArticle

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