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arXiv · 1410.1906

Schatten-class Truncated Toeplitz Operators

Patrick Lopatto·Richard Rochberg
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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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Patrick Lopatto, Richard Rochberg. 2014-10-07. Schatten-class Truncated Toeplitz Operators. https://arxiv.org/abs/1410.1906

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