the 8/14 Let 1 < p <[infinity]o. For t = [0, 1], let x₁(t) = 1, 1, if 0 ≤ t ≤ 1/2 x₂(t) = -1, if 1/2 1 and y2n+j(t) = y2 (2t - j+1) for n = 1,2,... and j = 1,..., 2". If n = Yn ([0,1], then {0, 1, 2,...} is a Schauder basis for C([0, 1]). Each an is a nonnegative piecewise linear continuous function, known as a saw-tooth function.
