An Abstract Formulation of the Lebesgue Decomposition Theorem

V. Ficker

Type: Article

Publication Date: 1971-02-01

Citations: 6

DOI: https://doi.org/10.1017/s1446788700008375

Abstract

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.

Locations

Journal of the Australian Mathematical Society - View - PDF

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+ PDF Chat	Weakly tight functions and their decomposition	2005	Mona Khare Bhawna Singh
+ PDF Chat	Coverable standard measures with the chain condition and the Lebesgue decomposition	1995	Yoshihiro Kubokawa
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Works Cited by This (1)

Action	Title	Year	Authors
+ PDF Chat	On the equivalence of a countable disjoint class of sets of positive measure and a weaker condition than total σ–finiteness of measures	1969	V. Ficker