Doklady Mathematics

, Volume 95, Issue 2, pp 164–167 | Cite as

Banach geometry of financial market models



Banach geometric objects imitating a phenomenon of the type of the absence of arbitrage in financial markets models are analyzed. The role played in this field by reflexive subspaces (which replace classically considered finite-dimensional subspaces) and by plasterable cones is revealed. A series of new geometric criteria for the absence of arbitrage are proved. An alternative description of the existence of a martingale measure is given, which does not use dual objects.


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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Mechanics and Mathematics FacultyBelarussian State UniversityMinskBelarus
  2. 2.University of BialystokBialystokPoland

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