Sets of admissible shifts of convex measures

Lavrentin M. Arutyunyan; Egor D. Kosov

doi:10.4171/rlm/695

JournalsrlmVol. 26, No. 1pp. 93–98

Sets of admissible shifts of convex measures

Lavrentin M. Arutyunyan
Moscow State University, Russian Federation
- MathSciNet
- zbMATH Open
Egor D. Kosov
Moscow State University, Russian Federation
- MathSciNet
- zbMATH Open

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Abstract

We prove that for any convex probability measure on a linear space the set of its non-singular shifts is convex and the set of its equivalent shifts is a linear subspace.

Cite this article

Lavrentin M. Arutyunyan, Egor D. Kosov, Sets of admissible shifts of convex measures. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 1, pp. 93–98

DOI 10.4171/RLM/695