Nearly strategic measures

Thomas E. Armstrong and William David Sudderth

Vol. 94 (1981), No. 2, 251–257

DOI: 10.2140/pjm.1981.94.251

Abstract

Every finitely additive probability measure α defined on all subsets of a product space X ×Y can be written as a unique convex combination α = pμ + (1 − p)ν where μ is approximable in variation norm by strategic measures and ν is singular with respect to every strategic measure.

Mathematical Subject Classification 2000

Primary: 28A35

Secondary: 60A10

Milestones

Received: 26 February 1979

Published: 1 June 1981