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Short Communications
On Monotone Extension of Linear Continuous Functionals
Yu. A. Rozanov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
A few simple notes are made in relation to the so-called fundamental theorem of mathematical finance; in particular, a simple counterexample to the martingale measure existence is given via the corresponding monotone linear continuous functional which has no monotone extensions.
Keywords:
dominating extension, Farkas lemma, martingale probability measure.
Citation:
Yu. A. Rozanov, “On Monotone Extension of Linear Continuous Functionals”, Teor. Veroyatnost. i Primenen., 46:4 (2001), 814–816; Theory Probab. Appl., 46:4 (2002), 747–749
Linking options:
https://www.mathnet.ru/eng/tvp3830https://doi.org/10.4213/tvp3830 https://www.mathnet.ru/eng/tvp/v46/i4/p814
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