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A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces (2008)
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U. Kohlenbach
| Citations: | 17 - 10 self |
BibTeX
@MISC{Kohlenbach08aquantitative,
author = {U. Kohlenbach},
title = {A quantitative Mean Ergodic Theorem for uniformly convex Banach spaces},
year = {2008}
}
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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 [1] and T. Tao [10]. 1
