Banach Geometry of Financial Market Models
a Mechanics and Mathematics Faculty,
Belarussian State University, Minsk, 220050 Belarus
b University of Bialystok, Bialystok, Poland
Correspondence to: *e-mail: email@example.com
Received 9 December, 2016
Abstract—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.