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Corrigendum and Addendum to “Almost-additive ergodic theorems for amenable groups” [J. Funct. Anal. 265 (2013) 1615–1666]

Research paper by Felix Pogorzelski

Indexed on: 05 Oct '16Published on: 05 Sep '16Published in: Journal of Functional Analysis



Abstract

The author of the above mentioned paper found that pointwise ergodic theorem for bounded additive processes, cf. Theorem 7.11 needs an additional assumption. Including the assumption of approximability, we show that the ergodic theorem is correct. Since we have not found a proof for Poisson point processes being approximable, we withdraw Corollary 7.12 which stated the pointwise almost-everywhere convergence for those processes. A minor flaw in the proof of the abstract mean ergodic theorem (Theorem 5.7) is fixed as well.