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19 April 2024

» arxiv » 2010.07286

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Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$
Semyon Litvinov ;
Date:	12 Oct 2020
Abstract:	We prove that the ergodic Ces’ aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(mathcal M, au)$, $1<p<infty$, converge almost uniformly (in Egorov’s sense). This problem goes back to the original paper of Yeadon cite{ye}, where bilaterally almost uniform convergence of these averages was established for $p=1$.
Source:	arXiv, 2010.07286
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