Bounds for a nonlinear ergodic theorem for Banach spaces
Dynamical Systems
2021-08-20 v1 Functional Analysis
Logic
Abstract
We extract quantitative information (specifically, a rate of metastability in the sense of Terence Tao) from a proof due to Kazuo Kobayasi and Isao Miyadera, which shows strong convergence for Ces\`aro means of nonexpansive maps on Banach spaces.
Cite
@article{arxiv.2108.08555,
title = {Bounds for a nonlinear ergodic theorem for Banach spaces},
author = {Anton Freund and Ulrich Kohlenbach},
journal= {arXiv preprint arXiv:2108.08555},
year = {2021}
}