4.3 Article

Bounds for a nonlinear ergodic theorem for Banach spaces

期刊

ERGODIC THEORY AND DYNAMICAL SYSTEMS
卷 43, 期 5, 页码 1570-1593

出版社

CAMBRIDGE UNIV PRESS
DOI: 10.1017/etds.2022.4

关键词

nonlinear ergodic theorem; Banach space; quantitative analysis; proof mining; metastability

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We extract quantitative information from a proof by Kazuo Kobayasi and Isao Miyadera, which demonstrates strong convergence for Cesaro means of non-expansive maps on Banach spaces.
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 Cesaro means of non-expansive maps on Banach spaces.

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