A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces
Dynamical Systems
2008-04-30 v2 Logic
Abstract
We provide an explicit uniform bound on the local stability of ergodic averages in uniformly convex Banach spaces. Our result can also be viewed as a finitary version in the sense of T. Tao of the Mean Ergodic Theorem for such spaces and so generalizes similar results obtained for Hilbert spaces by Avigad, Gerhardy and Towsner (arXiv:0706.1512v2 [math.DS]) and T. Tao (arXiv:0707.1117v1 [math.DS]).
Cite
@article{arxiv.0804.3844,
title = {A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces},
author = {Ulrich Kohlenbach and Laurentiu Leustean},
journal= {arXiv preprint arXiv:0804.3844},
year = {2008}
}