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
LAAS-CNRS, 7 Av. du Colonel Roche, Toulouse Cedex 31077, France
Received 1 April 1996; Revised 1 July 1996
Copyright © 1997 Jean B. Lasserre. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We consider a sequence {μn} of (nonnegative) measures on a general measurable space (X,ℬ). We establish sufficient conditions for setwise convergence and convergence in total variation.