Continuity and equicontinuity of semigroups on norming dual pairs
| dc.contributor.author | Kunze, Markus | |
| dc.date.accessioned | 2018-02-06T14:05:31Z | |
| dc.date.available | 2018-02-06T14:05:31Z | |
| dc.date.issued | 2009-12 | eng |
| dc.description.abstract | We study continuity and equicontinuity of semigroups on norming dual pairs with respect to topologies defined in terms of the duality. In particular, we address the question whether continuity of a semigroup already implies (local/quasi) equicontinuity. We apply our results to transition semigroups and show that, under suitable hypothesis on E, every transition semigroup on Cb(E) which is continuous with respect to the strict topology β 0 is automatically quasi-equicontinuous with respect to that topology. We also give several characterizations of β 0-continuous semigroups on Cb(E) and provide a convenient condition for the transition semigroup of a Banach space valued Markov process to be β 0-continuous. | eng |
| dc.description.version | published | de |
| dc.identifier.doi | 10.1007/s00233-009-9174-9 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/41258 | |
| dc.language.iso | eng | eng |
| dc.subject | Norming dual pairs, Transition semigroups, Equicontinuity, Strict topology | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Continuity and equicontinuity of semigroups on norming dual pairs | eng |
| dc.type | JOURNAL_ARTICLE | de |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Kunze2009-12Conti-41258,
year={2009},
doi={10.1007/s00233-009-9174-9},
title={Continuity and equicontinuity of semigroups on norming dual pairs},
number={3},
volume={79},
issn={0037-1912},
journal={Semigroup Forum},
pages={540--560},
author={Kunze, Markus}
} | |
| kops.citation.iso690 | KUNZE, Markus, 2009. Continuity and equicontinuity of semigroups on norming dual pairs. In: Semigroup Forum. 2009, 79(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9 | deu |
| kops.citation.iso690 | KUNZE, Markus, 2009. Continuity and equicontinuity of semigroups on norming dual pairs. In: Semigroup Forum. 2009, 79(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9 | eng |
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| kops.sourcefield | Semigroup Forum. 2009, <b>79</b>(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9 | deu |
| kops.sourcefield.plain | Semigroup Forum. 2009, 79(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9 | deu |
| kops.sourcefield.plain | Semigroup Forum. 2009, 79(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9 | eng |
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| source.identifier.issn | 0037-1912 | eng |
| source.periodicalTitle | Semigroup Forum | eng |