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.
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