Abstract
In a recent paper, L. Colzani studied the problem of monotone approximation of a function by its Fejer means. Of course, the approximation is monotone in L 2 (T), but he proved that this is no longer true in C(T). Here we show that it is hopeless to find a monotone approximation in C(T N ) whatever is the approximate unit we can use and we prove that results similar to that for the Fejer means hold for a large class of approximate units
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