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Wiener-Hopf operators on a finite interval and Schatten-von Neumann classes

Author: Vladimir V. Peller
Journal: Proc. Amer. Math. Soc. 104 (1988), 479-486
MSC: Primary 47B35; Secondary 47B10
MathSciNet review: 962816
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Abstract: Recently R. Rochberg has characterized Hankel and Toeplitz operators on the Paley-Wiener space which belong to the Schatten-von Neumann class $ {S_p}$ for $ p \geq 1$. These operators coincide up to Fourier transform with Wiener-Hopf operators on a finite interval. Using a different approach, we extend Rochberg's result to all positive $ p$.

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Keywords: Wiener-Hopf operator, Hankel operator, Toeplitz operator, Schattenvon Neumann classes
Article copyright: © Copyright 1988 American Mathematical Society

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