Adjoints of slant Toeplitz operators II

Let T be the unit circle { z is an element of C : \z\ = 1} and phi similar to Sigma (n) c(n)e(in theta) be a bounded measurable function on T. The slant Toeplitz operator A(phi) on L-2 (T) is defined by (A(phi)e(n), e(m)) = C2m-n for all m, n is an element of Z, where e(n)(z) = z(n), z is an element of T. In this paper, we continue the study initiated in [6] on A(phi)*, the adjoint of A(phi). Specifically, we will show that for a certain dense set of continuous functions on T, A(phi)* is similar to some constant multiple of either a shift, or a shift plus a rank one operator.