Mild law of large numbers and its consequences

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1. CONWAY J. B., A Course in Functional Analysis, Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. (1985) Zbl0558.46001MR0768926
2. DUDLEY R. M., Convergence of Baire measures, Studia Math. 27 (1966), 251-268. (1966) Zbl0147.31301MR0200710
3. FRIEDMAN N. A., Introduction to Ergodic Theory, Van Nostrand, New York-Cincinnati-Toronto-London-Melbourne, 1970. (1970) Zbl0212.40004MR0435350
4. KELLEY J. L., General Topology, D. Van Nostrand, New York, 1955. (1955) Zbl0066.16604MR0070144
5. KOLMOGOROV A. N., FOMIN S. V., Introduction to Theory of Functions and Functional Analysis, (Russian), Nauka, Moscow, 1981. (1981) MR0630899
6. KORNFEL'D I. P., SINAI J. G., FOMIN S. V., Ergodic Theory, (Russian), Nauka, Moscow, 1980. (1980) MR0610981
7. KOROLJUK V. S., TURBIN A. F., Mathematical Elements of Phase Amplification in Complex Systems, (Russian), Naukova Dumka, Kiev, 1978. (1978) MR0515139
8. KOVALENKO I. N., KUZNECOV N. JU., SHURENKOV V. M., Random Processes, (Russian), Naukova Dumka, Kiev, 1983. (1983) MR0751235
9. LOTZ H. P., Positive linear operators on Lp and the Doeblin condition, In: Aspects of Positivity in Functional Analysis. Elsevier Science Publishers B.V., North Holand, 1986, pp. 137-156. (1986) MR0859722
10. MEYN S. P., Ergodic theorems for discrete time stochastic systems using a stochastic Lyapunov function, SIAM J. Control Optim. 27 (1989), 1409-1439. (1989) Zbl0681.60067MR1022436
11. MOHAPL J., The Radon measures as functionals on Lip schitz functions, Czechoslovak Math. J. 41 (1991), 446-453. (1991) MR1117798
12. MOHAPL J., On weakly convergent nets in spaces of non-negative measures, Czechoslovak Math. J. 40 (1990), 408-421. (1990) Zbl0727.28011MR1065020
13. NUMMELIN E., General Irreducible Markov Chains and Non Negative Operators, Cambridge University Press, Cambridge, 1984. (1984) Zbl0551.60066MR0776608
14. PACHL J. K., Measures as functionals on uniformly continuous functions, Pacific J. Math. 82 (1979), 515-521. (1979) Zbl0419.28006MR0551709
15. PARRY W., Topics in Ergodic Theory, Cambridge University Press, Cambridge, 1980. (1980) MR0614142
16. PARTHASARATHY K. R., Introduction to Probability and Measure, Springer-Verlag, New York-Heidelberg-Berlin, 1978. (1978) MR0651013
17. SHURENKOV V. M., Ergodic Markov Processes, (Russian), Nauka, Moscow, 1989. (1989) Zbl0687.60065MR1087782
18. VACHANIJA N. N., TARIELADZE V. L., ČOBANJAN S. A., Probability Distributions in Banach Spaces, (Russian), Nauka, Moscow, 1985. (1985) MR0787803
19. VARADARJAN V. S., Measures on topological spaces, (Russian), Mat. Sb. 55 (1961), 35-100. (1961) 
20. YOSIDA K., Functional Analysis, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. (1965) Zbl0126.11504
21. ŽDANOK T. A., Fixed point theorem for measurable field of operators with an application to random differential equation, In: Fifth Japan-USSR Symposium Proceedengs 1986, Springer-Verlag, New York-Heidelberg-Berlin, 1988. (1986) MR0936033