## Abstract Let __P__ be a Markov kernel defined on a measurable space (__X__, ๐). A __P__โergodic probability is an extreme point of the family of all __P__โinvariant probability measures on ๐. Several characterizations of __P__โergodic probabilities are given. In particular, for the special case
Characterizations of ergodic measures on shift spaces
โ Scribed by Choo-Whan Kim
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 689 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let X be a Banach space with a basis. We prove the following characterizations: (i) X is finite-dimensional if and only if every power-bounded operator is uniformly ergodic. (ii) X is reflexive if and only if every power-bounded operator is mean ergodic. (iii) X is quasi-reflexive of order one if
Complete L-regularity is internally characterized in terms of separating chains of open L-sets. A possible characterization in terms of normal and separating families of closed L-sets is discussed and it is shown that spaces admitting such families are completely L-regular. The question of whether t
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