On the lattice structure of kernel operators
| dc.contributor.author | Gerlach, Moritz | |
| dc.contributor.author | Kunze, Markus | |
| dc.date.accessioned | 2018-02-06T12:46:28Z | |
| dc.date.available | 2018-02-06T12:46:28Z | |
| dc.date.issued | 2015 | eng |
| dc.description.abstract | Consider the lattice of bounded linear operators on the space of Borel measures on a Polish space. We prove that the operators which are continuous with respect to the weak topology induced by the bounded measurable functions form a sublattice that is lattice isomorphic to the space of transition kernels. As an application we present a purely analytic proof of Doob's theorem concerning stability of transition semigroups. | eng |
| dc.description.version | published | de |
| dc.identifier.arxiv | 1307.8373 | eng |
| dc.identifier.doi | 10.1002/mana.201300218 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/41248 | |
| dc.language.iso | eng | eng |
| dc.subject | Lattice structure, transition kernel, weak topology, Doob’s theorem | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | On the lattice structure of kernel operators | eng |
| dc.type | JOURNAL_ARTICLE | de |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Gerlach2015latti-41248,
year={2015},
doi={10.1002/mana.201300218},
title={On the lattice structure of kernel operators},
number={5-6},
volume={288},
issn={0025-584X},
journal={Mathematische Nachrichten},
pages={584--592},
author={Gerlach, Moritz and Kunze, Markus}
} | |
| kops.citation.iso690 | GERLACH, Moritz, Markus KUNZE, 2015. On the lattice structure of kernel operators. In: Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218 | deu |
| kops.citation.iso690 | GERLACH, Moritz, Markus KUNZE, 2015. On the lattice structure of kernel operators. In: Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218 | eng |
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| kops.sourcefield | Mathematische Nachrichten. 2015, <b>288</b>(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218 | deu |
| kops.sourcefield.plain | Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218 | deu |
| kops.sourcefield.plain | Mathematische Nachrichten. 2015, 288(5-6), pp. 584-592. ISSN 0025-584X. eISSN 1522-2616. Available under: doi: 10.1002/mana.201300218 | eng |
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