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Bounds for a nonlinear ergodic theorem for Banach spaces

Published online by Cambridge University Press:  18 February 2022

ANTON FREUND*
Affiliation:
Department of Mathematics, Technical University of Darmstadt, Schlossgartenstr. 7, 64289Darmstadt, Germany (e-mail: kohlenbach@mathematik.tu-darmstadt.de)
ULRICH KOHLENBACH
Affiliation:
Department of Mathematics, Technical University of Darmstadt, Schlossgartenstr. 7, 64289Darmstadt, Germany (e-mail: kohlenbach@mathematik.tu-darmstadt.de)

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 non-expansive maps on Banach spaces.

Type
Original Article
Copyright
© The Author(s), 2022. Published by Cambridge University Press

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