Bounds for a nonlinear ergodic theorem for Banach spaces

2021/08/19 by Freund, Anton, Kohlenbach, Ulrich
#03F10 #47H10 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Logic (math.LO)

paper · doi:10.48550/arxiv.2108.08555

Abstract

We extract quantitative information (specifically, a rate of metastability in the sense of Terence Tao) from a proof due to Kazuo Kobayasi and Isao Miyadera, which shows strong convergence for Cesàro means of nonexpansive maps on Banach spaces.

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