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An Abstract Formulation of the Lebesgue Decomposition Theorem
Published online by Cambridge University Press: 09 April 2009
Extract
Some concepts in measure theory can be generalized by means of classes of null sets. When measures are considered then the classes of all sets of measure zero play the role of classes of null sets. The purpose of this paper is to give an abstract formulation and proof of the Lebesgue decomposition theorem.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1971 , pp. 101 - 105
- Copyright
- Copyright © Australian Mathematical Society 1971
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