Journal of Applied Mathematics and Stochastic Analysis 
Volume 10 (1997), Issue 2, Pages 131-136
doi:10.1155/S1048953397000166

On the setwise convergence of sequences of measures

Jean B. Lasserre

LAAS-CNRS, 7 Av. du Colonel Roche, Toulouse Cedex 31077, France

Received 1 April 1996; Revised 1 July 1996

Abstract

We consider a sequence {μn} of (nonnegative) measures on a general measurable space (X,). We establish sufficient conditions for setwise convergence and convergence in total variation.