| Title:
|
Regular potentials of additive functionals in semidynamical systems (English) |
| Author:
|
Rhouma, Nedra Belhaj |
| Author:
|
Bezzarga, Mounir |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
45 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
555-572 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We consider a semidynamical system $(X,\Cal B,\Phi ,w)$. We introduce the cone $\Bbb A$ of continuous additive functionals defined on $X$ and the cone $\Cal P$ of regular potentials. We define an order relation ``$\leq $'' on $\Bbb A$ and a specific order ``$\prec $'' on $\Cal P$. We will investigate the properties of $\Bbb A$ and $\Cal P$ and we will establish the relationship between the two cones. (English) |
| Keyword:
|
additive functional |
| Keyword:
|
excessive functions |
| Keyword:
|
regular potential |
| Keyword:
|
semidynamical system |
| Keyword:
|
specific order |
| MSC:
|
31D05 |
| MSC:
|
37A60 |
| MSC:
|
58F98 |
| MSC:
|
60J45 |
| MSC:
|
60J55 |
| idZBL:
|
Zbl 1127.31303 |
| idMR:
|
MR2103150 |
| . |
| Date available:
|
2009-05-05T16:47:30Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119483 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
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| . |
