Publikation: A pointwise bipolar theorem
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2019
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Proceedings of the American Mathematical Society. 2019, 147(4), pp. 1483-1495. ISSN 0002-9939. eISSN 1088-6826. Available under: doi: 10.1090/proc/14231
Zusammenfassung
We provide a pointwise bipolar theorem for lim inf-closed convex sets of positive Borel measurable functions on a σ-compact metric space without the assumption that the polar is a tight set of measures. As applications we derive a version of the transport duality under nontight marginals, and a superhedging duality for semistatic hedging in discrete time.
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510 Mathematik
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BARTL, Daniel, Michael KUPPER, 2019. A pointwise bipolar theorem. In: Proceedings of the American Mathematical Society. 2019, 147(4), pp. 1483-1495. ISSN 0002-9939. eISSN 1088-6826. Available under: doi: 10.1090/proc/14231BibTex
@article{Bartl2019-04-01point-44899, year={2019}, doi={10.1090/proc/14231}, title={A pointwise bipolar theorem}, number={4}, volume={147}, issn={0002-9939}, journal={Proceedings of the American Mathematical Society}, pages={1483--1495}, author={Bartl, Daniel and Kupper, Michael} }
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 sets of positive Borel measurable functions on a σ-compact metric space without
 the assumption that the polar is a tight set of measures. As applications
 we derive a version of the transport duality under nontight marginals, and a
 superhedging duality for semistatic hedging in discrete time.</dcterms:abstract> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-02-07T10:46:14Z</dc:date> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:creator>Bartl, Daniel</dc:creator> <dc:contributor>Bartl, Daniel</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dcterms:issued>2019-04-01</dcterms:issued> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/44899"/> </rdf:Description> </rdf:RDF>
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