zbMATH — the first resource for mathematics

A measure decomposition theorem. (English) Zbl 0635.28003
In the paper there is proved an abstract decomposition theorem. It is shown that from this theorem four concrete decomposition theorems follow, e.g. the Lebesgue decomposition theorem and the theorem on the decomposition into a non-atomic and a purely atomic part.

28A12 Contents, measures, outer measures, capacities
Full Text: EuDML
[1] BERBERIAN S. K.: Measure and Integration. MacMillan Company, New York, 1965 · Zbl 1210.28001
[2] HALMOS P. R.: Measure Theory. Princeton, Van Nostrand, 1968.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.