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arxiv: 1410.1906 · v1 · pith:P5T7JULLnew · submitted 2014-10-07 · 🧮 math.CV · math.FA

Schatten-class Truncated Toeplitz Operators

classification 🧮 math.CV math.FA
keywords operatorsassociatedgeneratedmodelspacestoeplitztruncatedanalytic
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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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