Invariant subspaces of Toeplitz operators with piecewise continuous symbols

Peller, Vladimir V.

doi:10.1090/S0002-9939-1993-1145425-0

Invariant subspaces of Toeplitz operators with piecewise continuous symbols
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Proc. Amer. Math. Soc. 119 (1993), 171-178 Request permission

Abstract:

Sufficient conditions are found for the existence of nontrivial invariant subspaces for Toeplitz operators with piecewise continuous symbols. The results are obtained by estimating the norm of the resolvents.

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