Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können am Montag, 6.2. und Dienstag, 7.2. keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted on Monday, Feb. 6 and Tuesday, Feb. 7.)
Type of Publication: | Journal article |
Publication status: | Published |
Author: | Kunze, Markus |
Year of publication: | 2009 |
Published in: | Semigroup Forum ; 79 (2009), 3. - pp. 540-560. - ISSN 0037-1912. - eISSN 1432-2137 |
DOI (citable link): | https://dx.doi.org/10.1007/s00233-009-9174-9 |
Summary: |
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.
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Subject (DDC): | 510 Mathematics |
Keywords: | Norming dual pairs, Transition semigroups, Equicontinuity, Strict topology |
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KUNZE, Markus, 2009. Continuity and equicontinuity of semigroups on norming dual pairs. In: Semigroup Forum. 79(3), pp. 540-560. ISSN 0037-1912. eISSN 1432-2137. Available under: doi: 10.1007/s00233-009-9174-9
@article{Kunze2009-12Conti-41258, title={Continuity and equicontinuity of semigroups on norming dual pairs}, year={2009}, doi={10.1007/s00233-009-9174-9}, number={3}, volume={79}, issn={0037-1912}, journal={Semigroup Forum}, pages={540--560}, author={Kunze, Markus} }