Schatten-class truncated Toeplitz operators

Lopatto, Patrick; Rochberg, Richard

doi:10.1090/proc12731

Schatten-class truncated Toeplitz operators
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by Patrick Lopatto and Richard Rochberg

Proc. Amer. Math. Soc. 144 (2016), 637-649

DOI: https://doi.org/10.1090/proc12731

Published electronically: June 10, 2015

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Abstract:

We investigate truncated Toeplitz operators belonging to the Schatten ideals. We completely characterize such operators when they have an analytic symbol or belong to the ideal of Hilbert-Schmidt operators. We also study model spaces generated by Blaschke products associated with thin sequences, model spaces generated by certain types of singular inner functions, and operators associated with a class of very smooth symbols.

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