Abstract.Let T be the unit circle, A{F) the Wiener algebra of continuous functions whose series of Fourier coefficients are absolutely convergent, and A+ the subalgebra of A(T) of functions whose negative coefficients are zero. If / is a closed ideal of A+ , we denote by S¡ the greatest common divisor of the inner factors of the nonzero elements of / and by Ia the closed ideal generated by / in A{T). It was conjectured that the equality Ia = S¡H°° n Ia holds for every closed ideal / . We exhibit a large class !7 of perfect subsets of Y, including the triadic Cantor set, such that the above equality holds whenever h{I) nfG J. We also give counterexamples to the conjecture.
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