Abstract
We consider Toeplitz operators with unimodular symbols on the Hardy space H 2 on the unit circle. Examples of inner functions θ andareal function w such that ||w||∞ = π/2 and the Toeplitz operator with symbol θe iw is not left-invertible are given. We also study Toeplitz operators that are similar to isometries. Bibliography: 28 titles.
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