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- W326495335 abstract "In this chapter we treat some additional important topics in the theory of measure and integration. The first of these concerns another way that new measures can be constructed from old ones. If (X, S) and (Y, T) are measurable spaces, then a set of the form E × F, where E ∈ S and F ∈ T, is called a measurable rectangle in X × Y. The σ-ring of subsets of X × Y generated by the collection of all measurable rectangles is denoted by S × T, and the space X × Y equipped with the product σ-ring S × T is a measurable space called the product of (X, S) and (Y, T).KeywordsIntegration TheoryMeasure SpaceMeasurable SubsetBorel SubsetFinite MeasureThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W326495335 date "1977-01-01" @default.
- W326495335 modified "2023-09-27" @default.
- W326495335 title "More integration theory" @default.
- W326495335 doi "https://doi.org/10.1007/978-1-4612-9926-4_9" @default.
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