Publikation: Mean ergodic theorems on norming dual pairs
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2014
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Gerlach, Moritz
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Ergodic Theory and Dynamical Systems. 2014, 34(04), pp. 1210-1229. ISSN 0143-3857. eISSN 1469-4417. Available under: doi: 10.1017/etds.2012.187
Zusammenfassung
We extend the classical mean ergodic theorem to the setting of norming dual pairs. It turns out that, in general, not all equivalences from the Banach space setting remain valid in our situation. However, for Markovian semigroups on the norming dual pair (Cb(E), M(E)) all classical equivalences hold true under an additional assumption which is slightly weaker than the e-property.
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GERLACH, Moritz, Markus KUNZE, 2014. Mean ergodic theorems on norming dual pairs. In: Ergodic Theory and Dynamical Systems. 2014, 34(04), pp. 1210-1229. ISSN 0143-3857. eISSN 1469-4417. Available under: doi: 10.1017/etds.2012.187BibTex
@article{Gerlach2014ergod-41250,
year={2014},
doi={10.1017/etds.2012.187},
title={Mean ergodic theorems on norming dual pairs},
number={04},
volume={34},
issn={0143-3857},
journal={Ergodic Theory and Dynamical Systems},
pages={1210--1229},
author={Gerlach, Moritz and Kunze, Markus}
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