Geodesic
Spectrum, similarity, and invariant subspaces of Toeplitz operators
Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 133-144

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Estimates are obtained for the resolvents of Toeplitz operators under certain restrictions on their symbols. Conditions are found for the existence of nontrivial invariant subspaces and for a Toeplitz operator to be similar to a unitary operator. A theorem on inclusion of spectra is obtained for Toeplitz operators with unimodular symbols. Bibliography: 26 titles. 
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     author = {V. V. Peller},
     title = {Spectrum, similarity, and invariant subspaces of {Toeplitz} operators},
     journal = {Izvestiya. Mathematics },
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     url = {http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a7/}
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V. V. Peller. Spectrum, similarity, and invariant subspaces of Toeplitz operators. Izvestiya. Mathematics , Tome 29 (1987) no. 1, pp. 133-144. http://geodesic.mathdoc.fr/item/IM2_1987_29_1_a7/