| Title:
|
Weighted Frobenius-Perron operators and their spectra (English) |
| Author:
|
Jabbarzadeh, Mohammad Reza |
| Author:
|
Hajipouri, Rana |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
142 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
113-124 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
First, some classic properties of a weighted Frobenius-Perron operator $\mathcal {P}_\varphi ^u$ on $L^1(\Sigma )$ as a predual of weighted Koopman operator $W=uU_\varphi $ on $L^\infty (\Sigma )$ will be investigated using the language of the conditional expectation operator. Also, we determine the spectrum of $\mathcal {P}_\varphi ^u$ under certain conditions. (English) |
| Keyword:
|
Frobenius-Perron operator |
| Keyword:
|
Fredholm operator |
| Keyword:
|
spectrum |
| MSC:
|
11Y50 |
| MSC:
|
47A10 |
| MSC:
|
47B20 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 06738573 |
| idMR:
|
MR3660169 |
| DOI:
|
10.21136/MB.2016.0079-15 |
| . |
| Date available:
|
2017-05-23T09:56:25Z |
| Last updated:
|
2020-07-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146745 |
| . |
| 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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| . |
