Vol. 314, No. 1, 2021

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A quantitative multiparameter mean ergodic theorem

Andrei Sipoş

Vol. 314 (2021), No. 1, 209–218
Abstract

We use techniques of proof mining to obtain a computable and uniform rate of metastability (in the sense of Tao) for the mean ergodic theorem for a finite number of commuting linear contractive operators on a uniformly convex Banach space.

Keywords
proof mining, mean ergodic theorem, uniformly convex Banach spaces, rate of metastability
Mathematical Subject Classification
Primary: 03F10, 37A30, 47A35