Mean ergodic theorems on norming dual pairs
Functional Analysis
2019-02-20 v1 Dynamical Systems
Abstract
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 (C_b(E), M(E)) all classical equivalences hold true under an additional assumption which is slightly weaker than the e-property.
Keywords
Cite
@article{arxiv.1206.5703,
title = {Mean ergodic theorems on norming dual pairs},
author = {Moritz Gerlach and Markus Kunze},
journal= {arXiv preprint arXiv:1206.5703},
year = {2019}
}
Comments
18 pages, 1 figure