Abstract
It is shown that, for Markov operators, uniform ergodicity with finite dimensional fixed points space is equivalent to quasi compactness. For ergodic transition probabilities, strong convergence of the averages is shown equivalent to quasi-compactness, even when the a-algebra is not countably generated.
| Original language | English |
|---|---|
| Pages (from-to) | 345-354 |
| Number of pages | 10 |
| Journal | Annales de l'Institut Henri Poincaré, Probabilités et Statistiques |
| Volume | 11 |
| State | Published - 1975 |