A quantitative mean ergodic theorem for uniformly convex Banach spaces
Copyright policy )A quantitative mean ergodic theorem for uniformly convex Banach spaces
AbstractWe 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 Tao of the mean ergodic theorem for such spaces and so generalizes similar results obtained for Hilbert spaces by Avigad et al [Local stability of ergodic averages. Trans. Amer. Math. Soc. to appear] and Tao [Norm convergence of multiple ergodic averages for commuting transformations. Ergod. Th. & Dynam. Sys.28(2) (2008), 657–688].
- TU Darmstadt Germany
FOS: Mathematics, Mathematics - Logic, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Logic (math.LO)
FOS: Mathematics, Mathematics - Logic, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, Logic (math.LO)
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