A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces

Details A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces

2008-04-24

arxiv.org/abs/0804.3844v2

Mathematics

Dynamical Systems

Scientific paper

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]).

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