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Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$ by Litvinov, Semyon is a scholarly article available to read on EtoBox.

What is Almost Uniform Convergence in Noncommutative Dunford-Schwartz Ergodic Theorem for $p>1$ about?

We prove that the ergodic Ces\' aro averages generated by a positive Dunford-Schwartz operator in a noncommutative space $L^p(\mathcal M,\tau)$, $1<p<\infty$, 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 $p=1$.

Author

Litvinov, Semyon

Published

2020

Language

EN