Sets of admissible shifts of convex measures

  • Lavrentin M. Arutyunyan

    Moscow State University, Russian Federation
  • Egor D. Kosov

    Moscow State University, Russian Federation

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