Let f be as in Exercise 19 and let m(x):= (_1)k for x E [ak,bk](k EN), and m(x)

Chapter 10, Problem 20

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Let f be as in Exercise 19 and let m(x):= (_1)k for x E [ak,bk](k EN), and m(x) :=0elsewherein [0, 1].Showthatm . f = 1m . fl. Use Exercise7.2.11to showthat the boundedfunctions m and Iml belong to'R.[O, 1]. Conclude that the product of a function in 'R.*[O,1] anda bounded function in 'R.[O,1] may not belong to 'R.*[O,1].

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