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Published online by Cambridge University Press: 20 November 2018
Let A(D) be the usual disc algebra, and let A + be the subalgebra of A(D) consisting in those f € A(D) which have an absolutely convergent series of Taylor coefficients. Set m 1 = {f € A(D) | f(1) = 0}, m = m 1 ∩ A +, let G be the function and K = A+ ∩ I1 .
We show that the quotient algebras m1/I1 and m/K are similar in the sense of J. Esterle.