| Title:
|
Asymptotic periodicity of Markov operators on signed measures (English) |
| Author:
|
Komorník, Jozef |
| Author:
|
Thomas, Erik G. F. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
116 |
| Issue:
|
2 |
| Year:
|
1991 |
| Pages:
|
174-180 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A new criterion of asymptotic periodicity of Markov operators on $L^1$, established in [3], is extended to the class of Markov operators on signed measures. (English) |
| Keyword:
|
signed measure |
| Keyword:
|
band |
| Keyword:
|
Markov operator |
| Keyword:
|
asymptotic periodicity of Markov operators |
| Keyword:
|
quasi-constructive Markov operator |
| Keyword:
|
space of signed measures on a $\sigma$-algebra |
| MSC:
|
28A33 |
| MSC:
|
28A99 |
| MSC:
|
28D05 |
| MSC:
|
46E27 |
| MSC:
|
47B55 |
| MSC:
|
47B60 |
| MSC:
|
47B65 |
| idZBL:
|
Zbl 0758.47033 |
| idMR:
|
MR1112002 |
| DOI:
|
10.21136/MB.1991.126138 |
| . |
| Date available:
|
2009-09-24T20:44:44Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126138 |
| . |
| Reference:
|
[1] N. Bourbaki: Intégration.Hermann. Paгis, 1969. Zbl 0189.14201 |
| Reference:
|
[2] N. Dunford J. T. Schwarz: Linear operators.Inteгscience Publishers, New York 1958. |
| Reference:
|
[3] J. Komorník: Asymptotic periodicity of the iterates of Markov operators.Tôhoku Math. Ј., 38 (1986), 15-27. MR 0826761, 10.2748/tmj/1178228533 |
| Reference:
|
[4] J. Komorník A. Lasota: Asymptotic decomposition of Markov operators.Bull. Pol. Ac. Math. 35 (1987), З21-З27. MR 0919219 |
| Reference:
|
[5] A. Lasota M. C. Mackey: Pгobabilistic Pгopeгties of Deterministic Systems.Cambridge University Press, Cambridge 1985. MR 0832868 |
| . |
