Let f be a square integrable function and

f(x) = \sum_{i = 0}^\infinty c_iT_i(x)

be the Chebyshev series expansion of f. T is a nxn toeplitz matrix with first row [c_n, c_{n-1},......c_1] and column [c_n, c_{n+1},......c_{2n-1}]. Can we give any condition on n to prove its invertibility?