| Title:
|
Ergodic theorems for linear operators on $C(X)$ with strict topology (English) |
| Author:
|
Mohapl, Jaroslav |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
1993 |
| Pages:
|
579-592 |
| . |
| Category:
|
math |
| . |
| MSC:
|
28D10 |
| idZBL:
|
Zbl 0815.28015 |
| idMR:
|
MR1273712 |
| . |
| Date available:
|
2009-09-25T10:52:11Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136592 |
| . |
| Reference:
|
[1] CONWAY J. B.: The strict topology and compactness in the space of measures.Bull. Amer. Math. Soc. 72 (1966), 75-78. Zbl 0137.31503, MR 0187054 |
| Reference:
|
[2] CONWAY J. B.: The strict topology and compactness in the space of measures II.Trans. Amer. Math. Soc. 129 (1969), 474-486. MR 0206685 |
| Reference:
|
[3] FREMLIN D. H., GARLING D. J. H., HAYDON R. G.: Bounded measures on topological spaces.Proc. London Math. Soc. (3) 25 (1972), 115-136. Zbl 0236.46025, MR 0344405 |
| Reference:
|
[4] GIRSANOV I. V.: Strongly Feller processes.(Russian), Teor. Veroyatnost. i Primenen. 5 (1960), 7-28. MR 0137151 |
| Reference:
|
[5] HAS'MINSKI R. Z.: Ergodic properties of recurrent diffusion processes and stabilization of the solution of the Cauchy problem for parabolic equations.(Russian), Teor. Veroyatnost. i Primenen. 5 (1960), 196-214. MR 0133871 |
| Reference:
|
[6] KELLY J. L., NAMIOKA I., al.: Linear Topological Spaces.Van Nostrand, Toronto, 1963. MR 0166578 |
| Reference:
|
[7] LIGGET T. M.: Interacting Particle Systems.Springer-Verlag, New York-Berlin-Heidelberg-Tokyo, 1985. MR 0776231 |
| Reference:
|
[8] LOTZ H. P.: Positive Linear Operators on Lp and the Doeblin Condition. Aspects of Positivity in Functional Analysis.Elsevier Science Publishers B.V., North-Holland, New York-Amsterdam, 1986. MR 0859722 |
| Reference:
|
[9] 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:
|
[10] NUMMELIN E.: General Irreducible Markov Chains and Non-Negative Operators.Cambridge University Press, Cambridge, 1984. Zbl 0551.60066, MR 0776608 |
| Reference:
|
[11] YOSIDA K.: Functional Analysis.Springer-Verlag, Berlin-Göttingen-Heidelberg, 1965. Zbl 0126.11504, MR 0350358 |
| Reference:
|
[12] VARADARJAN V. S.: Measures on topological spaces.Mat. Sb. 55 (1961), 35-100. |
| Reference:
|
[13] WHEELER R. F.: The strict topology, separable measures, and paracompactness.Pacific J. Math. 47 (1973), 287-302. Zbl 0244.46028, MR 0341047 |
| Reference:
|
[14] WHEELER R. F.: Weak and pointwise compactness in the space of bounded continuous functions.Trans. Amer. Math. Soc. 266 (1981), 515-530. Zbl 0477.46016, MR 0617548 |
| . |
