A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces

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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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Dynamical Systems, Logic

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http://salesiana.dossiersoluciones.com/handle/123456789/159940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0804.3844
 http://arxiv.org/abs/0804.3844

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arXiv