Integrals* and Products
It will be convenient to extend the domain of an integral to include certain ℝ* valued functions, and to extend the integral to an ℝ* valued functional on the larger domain. We make this extension and subsequently phrase the Beppo Levi theorem and Fatou’s lemma in this context. A more serious use of the new construct is then made in the study of product integrals and product measures.
KeywordsCompact Subset Integrable Function Product Measure Countable Union Compact Hausdorff Space
Unable to display preview. Download preview PDF.