| Title:
|
A Pettis-type integral and applications to transition semigroups (English) |
| Author:
|
Kunze, Markus |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
437-459 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators. We also provide conditions under which a semigroup is uniquely determined by its Laplace transform. (English) |
| Keyword:
|
Pettis-type integral |
| Keyword:
|
dual pairs |
| Keyword:
|
Laplace transform |
| Keyword:
|
transition semigroup |
| MSC:
|
46G10 |
| MSC:
|
47D06 |
| MSC:
|
60J35 |
| idZBL:
|
Zbl 1249.46044 |
| idMR:
|
MR2905415 |
| DOI:
|
10.1007/s10587-011-0065-3 |
| . |
| Date available:
|
2011-06-06T10:34:17Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141545 |
| . |
| Reference:
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