On the denseness of span {chi(lambda j)(1-chi)(1-lambda j)} in C-0([0,1])
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Associated with a sequence = (j)j = 0 of distinct exponents j [0, 1], we defineH () : = span {x0 (1 - x)1 - 0, x1 (1 - x)1 - 1, ...} C ([0, 1]) . Answering a question of Giuseppe Mastroianni, we show that H () is dense inC0 [0, 1] : = {f C [0, 1] : f (0) = f (1) = 0} in the uniform norm on [0, 1] if and only ifunderover(, j = 0, ) (1 / 2 - | 1 / 2 - j |) = . 2006 Elsevier Inc. All rights reserved.
