Transference of ergodic properties of operators via matrix actions
Functional Analysis
2026-05-26 v1
Abstract
For operators defined on locally convex spaces we define the notions of boundedness and ergodicity associated to an infinite matrix. Given two matrices and , we study when -bounded operators are -ergodic. Using this approach we obtain equivalent formulations for the classical notions of power boundedness, Ces\`aro boundedness and mean ergodicity.
Cite
@article{arxiv.2605.25684,
title = {Transference of ergodic properties of operators via matrix actions},
author = {Daniel Santacreu and Pablo Sevilla-Peris},
journal= {arXiv preprint arXiv:2605.25684},
year = {2026}
}