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ISSN Print: 2394-7500, ISSN Online: 2394-5869, CODEN: IJARPF

International Journal of Applied Research

Vol. 1, Issue 12, Part H (2015)

The Extension of Measures

Author(s)
Parvinder 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: 524-526  |  785 Views  8 Downloads
How to cite this article:
Parvinder Singh. The Extension of Measures. Int J Appl Res 2015;1(12):524-526.
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International Journal of Applied Research