Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem

Semyon Litvinov

doi:10.1016/j.crma.2017.09.014

Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem

Semyon Litvinov

Penn State Hazleton

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 L^p(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 language	English (US)
Pages (from-to)	977-980
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	9
DOIs	https://doi.org/10.1016/j.crma.2017.09.014
State	Published - Sep 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.crma.2017.09.014

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Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem

Abstract

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