A quantitative mean ergodic theorem for uniformly convex Banach spaces

DOI10.1017/S0143385708001004zbMath1190.37005arXiv0804.3844MaRDI QIDQ3650303

Laurenţiu Leuştean, Ulrich Kohlenbach

Publication date: 14 December 2009

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.3844

zbMATH Keywords

uniformly convex Banach spacemean ergodic theoremBirkhoffCesaro meanHerbrand normal formeffective bound on rate of convergence

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35) Ergodic theorems, spectral theory, Markov operators (37A30) Normed linear spaces and Banach spaces; Banach lattices (46Bxx) Limit theorems in probability theory (60Fxx)

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Cites Work

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• Uniform asymptotic regularity for Mann iterates.
• The mean ergodic theorem
• Some logical metatheorems with applications in functional analysis
• Norm convergence of multiple ergodic averages for commuting transformations
• General logical metatheorems for functional analysis
• Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
• Uniformly Convex Spaces