Noncommutative weighted individual ergodic theorems with continuous time
Operator Algebras
2018-09-07 v1 Functional Analysis
Abstract
We show that ergodic flows in noncommutative fully symmetric spaces (associated with a semifinite von Neumann algebra) generated by continuous semigroups of positive Dunford-Schwartz operators and modulated by bounded Besicovitch almost periodic functions converge almost uniformly. The corresponding local ergodic theorem is also discussed.
Cite
@article{arxiv.1809.01788,
title = {Noncommutative weighted individual ergodic theorems with continuous time},
author = {Vladimir Chilin and Semyon Litvinov},
journal= {arXiv preprint arXiv:1809.01788},
year = {2018}
}