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 , published in 1977, where bilaterally almost uniform convergence of these averages was established for p=1.
|Translated title of the contribution||Almost uniform convergence in the noncommutative Dunford–Schwartz ergodic theorem|
|Number of pages||4|
|Journal||Comptes Rendus Mathematique|
|State||Published - Sep 2017|
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