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An example concerning the nonlinear pointwise ergodic theorem |
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| Authors: | Ulrich Krengel |
| Institution: | 1. Institut für Mathematische Stochastik, Universit?t G?ttingen, Lotzestr. 13, 3400, G?ttingen, FRG |
| Abstract: | It is shown that the pointwise ergodic theorem for Markov operators inL 1, having a finite invariant measure, fails to extend to the case of nonlinear operators. Recall thatT is called nonexpansive inL p if ‖Tf – Tg ‖ p ≦‖f – g‖ p holds for allf andg. |
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