Positive operators on $C(X)$
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- by S. R. Foguel PDF
- Proc. Amer. Math. Soc. 22 (1969), 295-297 Request permission
Abstract:
Conditions for the existence of finite and $\sigma$ finite invariant measures for a Markov operator on $C(X)$ are studied.References
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N. Dunford and J. Schwartz, Linear operators, Interscience, New York, 1958.
- S. R. Foguel, Existence of invariant measures for Markov processes. II, Proc. Amer. Math. Soc. 17 (1966), 387–389. MR 193673, DOI 10.1090/S0002-9939-1966-0193673-2
- S. R. Foguel, Existence of a $\sigma$ finite invariant measure for a Markov process on a locally compact space, Israel J. Math. 6 (1968), 1–4. MR 242255, DOI 10.1007/BF02771598
- Kôsaku Yosida and Edwin Hewitt, Finitely additive measures, Trans. Amer. Math. Soc. 72 (1952), 46–66. MR 45194, DOI 10.1090/S0002-9947-1952-0045194-X
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 22 (1969), 295-297
- MSC: Primary 60.08
- DOI: https://doi.org/10.1090/S0002-9939-1969-0243570-1
- MathSciNet review: 0243570