Pointwise ergodic theorems in symmetric spaces of measurable functions
Functional Analysis
2017-01-01 v1
Abstract
For a Dunford-Schwartz operator in a fully symmetric space of measurable functions of an arbitrary measure space, we prove pointwise convergence of the conventional and weighted ergodic averages.
Keywords
Cite
@article{arxiv.1612.05802,
title = {Pointwise ergodic theorems in symmetric spaces of measurable functions},
author = {Vladimir Chilin and Dogan Comez and Semyon Litvinov},
journal= {arXiv preprint arXiv:1612.05802},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1509.05938