On ergodic operator means in Banach spaces
Functional Analysis
2015-12-01 v1
Abstract
We consider a large class of operator means and prove that a number of ergodic theorems, as well as growth estimates known for particular cases, continue to hold in the general context under fairly mild regularity conditions. The methods developed in the paper not only yield a new approach based on a general point of view, but also lead to results that are new, even in the context of the classical Cesaro means.
Keywords
Cite
@article{arxiv.1511.08929,
title = {On ergodic operator means in Banach spaces},
author = {Alexandru Aleman and Laurian Suciu},
journal= {arXiv preprint arXiv:1511.08929},
year = {2015}
}