A filtered version of the bipolar theorem of Brannath and Schachermayer

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dc.creatorZitkovic, Gordan
dc.date2007-06-01
dc.date.accessioned2026-07-07T08:03:49Z
dc.date.available2026-07-07T08:03:49Z
dc.descriptionWe extend the Bipolar Theorem of Brannath and Schachermayer (1999) to the space of nonnegative cadlag supermartingales on a filtered probability space. We formulate the notion of fork-convexity as an analogue to convexity in this setting. As an intermediate step in the proof of our main result we establish a conditional version of the Bipolar theorem. In an application to mathematical finance we describe the structure of the set of dual processes of the utility maximization problem of Kramkov and Schachermayer (1999) and give a budget-constraint characterization of admissible consumption processes in an incomplete semimartingale market.
dc.identifierhttps://arxiv.org/abs/0706.0049
dc.identifierhttp://arxiv.org/abs/0706.0049
dc.identifierJournal of Theoretical Probability (2002) vol. 15 no. 1
dc.identifierdoi:10.1023/A:1013885121598
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129718
dc.subjectProbability
dc.subjectFunctional Analysis
dc.titleA filtered version of the bipolar theorem of Brannath and Schachermayer
dc.typetext

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