An Abstract Formulation of the Lebesgue Decomposition Theorem-Reference-Cited by-同舟云学术

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An Abstract Formulation of the Lebesgue Decomposition Theorem

Published:1971-02 Issue:1 Volume:12 Page:101-105
ISSN:0004-9735
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

Ficker V.

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.

Publisher

Cambridge University Press (CUP)

Reference4 articles.

1. On the equivalence of a countable disjoint class of sets of positive measure and a weaker condition than total σ–finiteness of measures

2. Dominated classes and related questions;Ficker;Acta Fac. Rerum Natur. Univ. Comenian,1966

3. Measure Theory

4. On the lebesgue decomposition theorem

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1. On invariant ccc σ-ideals on $2^{\mathbb{N}}$;Acta Mathematica Hungarica;2013-12-11

2. Lebesgue decomposition by σ-null-additive set functions using ideals;Rendiconti del Circolo Matematico di Palermo;1996-01

3. Decompositions of supermodular functions and □-decomposable measures;Fuzzy Sets and Systems;1994-07

4. On classes of null sets;Journal of the Australian Mathematical Society;1972-11

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