| Title:
|
Mild law of large numbers and its consequences (English) |
| Author:
|
Mohapl, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
277-292 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D05 |
| MSC:
|
37A99 |
| MSC:
|
60F05 |
| MSC:
|
60J05 |
| idZBL:
|
Zbl 0858.28009 |
| idMR:
|
MR1241364 |
| . |
| Date available:
|
2009-09-25T10:48:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130800 |
| . |
| Reference:
|
[1] CONWAY J. B.: A Course in Functional Analysis.Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. Zbl 0558.46001, MR 0768926 |
| Reference:
|
[2] DUDLEY R. M.: Convergence of Baire measures.Studia Math. 27 (1966), 251-268. Zbl 0147.31301, MR 0200710 |
| Reference:
|
[3] FRIEDMAN N. A.: Introduction to Ergodic Theory.Van Nostrand, New York-Cincinnati-Toronto-London-Melbourne, 1970. Zbl 0212.40004, MR 0435350 |
| Reference:
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[4] KELLEY J. L.: General Topology.D. Van Nostrand, New York, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
|
[5] KOLMOGOROV A. N., FOMIN S. V.: Introduction to Theory of Functions and Functional Analysis.(Russian), Nauka, Moscow, 1981. MR 0630899 |
| Reference:
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[6] KORNFEL'D I. P., SINAI J. G., FOMIN S. V.: Ergodic Theory.(Russian), Nauka, Moscow, 1980. MR 0610981 |
| Reference:
|
[7] KOROLJUK V. S., TURBIN A. F.: Mathematical Elements of Phase Amplification in Complex Systems.(Russian), Naukova Dumka, Kiev, 1978. MR 0515139 |
| Reference:
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[8] KOVALENKO I. N., KUZNECOV N. JU., SHURENKOV V. M.: Random Processes.(Russian), Naukova Dumka, Kiev, 1983. MR 0751235 |
| Reference:
|
[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. MR 0859722 |
| Reference:
|
[10] MEYN S. P.: Ergodic theorems for discrete time stochastic systems using a stochastic Lyapunov function.SIAM J. Control Optim. 27 (1989), 1409-1439. Zbl 0681.60067, MR 1022436 |
| Reference:
|
[11] MOHAPL J.: The Radon measures as functionals on Lip schitz functions.Czechoslovak Math. J. 41 (1991), 446-453. MR 1117798 |
| Reference:
|
[12] MOHAPL J.: On weakly convergent nets in spaces of non-negative measures.Czechoslovak Math. J. 40 (1990), 408-421. Zbl 0727.28011, MR 1065020 |
| Reference:
|
[13] NUMMELIN E.: General Irreducible Markov Chains and Non Negative Operators.Cambridge University Press, Cambridge, 1984. Zbl 0551.60066, MR 0776608 |
| Reference:
|
[14] PACHL J. K.: Measures as functionals on uniformly continuous functions.Pacific J. Math. 82 (1979), 515-521. Zbl 0419.28006, MR 0551709 |
| Reference:
|
[15] PARRY W.: Topics in Ergodic Theory.Cambridge University Press, Cambridge, 1980. MR 0614142 |
| Reference:
|
[16] PARTHASARATHY K. R.: Introduction to Probability and Measure.Springer-Verlag, New York-Heidelberg-Berlin, 1978. MR 0651013 |
| Reference:
|
[17] SHURENKOV V. M.: Ergodic Markov Processes.(Russian), Nauka, Moscow, 1989. Zbl 0687.60065, MR 1087782 |
| Reference:
|
[18] VACHANIJA N. N., TARIELADZE V. L., ČOBANJAN S. A.: Probability Distributions in Banach Spaces.(Russian), Nauka, Moscow, 1985. MR 0787803 |
| Reference:
|
[19] VARADARJAN V. S.: Measures on topological spaces.(Russian), Mat. Sb. 55 (1961), 35-100. |
| Reference:
|
[20] YOSIDA K.: Functional Analysis.Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. Zbl 0126.11504 |
| Reference:
|
[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. MR 0936033 |
| . |
