Mean ergodic theorems on norming dual pairs

  title={Mean ergodic theorems on norming dual pairs},
  author={Moritz Gerlach and Markus Kunze},
  • Moritz Gerlach, Markus Kunze
  • Published 2013
  • Mathematics
  • 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 $({C}_{b} (E), \mathscr{M} (E))$ all classical equivalences hold true under an additional assumption which is slightly weaker than the e-property. 

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