Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589552 | Journal of Functional Analysis | 2016 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Felix Pogorzelski,