On the mean convergence of Markov operators
- 1 September 1974
- journal article
- research article
- Published by Cambridge University Press (CUP) in Proceedings of the Edinburgh Mathematical Society
- Vol. 19 (2) , 205-209
- https://doi.org/10.1017/s0013091500010324
Abstract
Throughout the paper, T will be a Markov operator on C(X) (X compact T2), i.e. a continuous positive operator such that Te = e (e the unit function). P will be the set of Borel probability measures on X, which we shall often think of as linear functionals on C(X), and , where T' is the adjoint of T. LetKeywords
This publication has 4 references indexed in Scilit:
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- Geometric theory of a single Markov operatorPacific Journal of Mathematics, 1968
- Ergodic Decompositions Induced by Certain Markov OperatorsTransactions of the American Mathematical Society, 1965
- Ergodic decompositions induced by certain Markov operatorsTransactions of the American Mathematical Society, 1965