2017, Vol. 2, Issue 5, Part B
The extension of measures
Author(s): Baljodh Singh
Abstract: In this paper we have to show that if A is any algebra of subsets of a set X and if μ is a measure defined on A then there exist a σ- algebra A^* containing A and a measure μ^* defined on A^* such that μ^* (E)=μ(E) in A. In other words the measure μ can be extended to a measure on a σ-algebra A^* of subsets of X, which contains A.
Pages: 101-103 | Views: 1151 | Downloads: 18Download Full Article: Click HereHow to cite this article:
Baljodh Singh. The extension of measures. Int J Stat Appl Math 2017;2(5):101-103.
