
arXiv: 1410.1906
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.
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Mathematics - Complex Variables, Linear operators on function spaces (general), FOS: Mathematics, Complex Variables (math.CV), Functional Analysis (math.FA)
Linear operators belonging to operator ideals (nuclear, \(p\)-summing, in the Schatten-von Neumann classes, etc.), Mathematics - Functional Analysis, Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces), Mathematics - Complex Variables, Linear operators on function spaces (general), FOS: Mathematics, Complex Variables (math.CV), Functional Analysis (math.FA)
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