(a) Prove that (6) is valid for products of the form

Chapter 9, Problem 2

(choose chapter or problem)

(a) Prove that (6) is valid for products of the form (x)(y)(z) and hence for any nite sum of such products. (b) Deduce (6) for any bounded continuous function (x). You may use the fact that there is a sequence of nite sums of products as in part (a) which converges uniformly to (x).

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