Hankel and Toeplitz operators: continuous and discrete representations

• Autorzy: Yafaev D. R.

Identyfikatory

DOI

10.7494/OpMath.2017.37.1.189

• Języki publikacji: EN

Abstrakty

EN

We find a relation guaranteeing that Hankel operators realized in the space of sequences [formula] and in the space of functions [formula] are unitarily equivalent. This allows us to obtain exhaustive spectral results for two classes of unbounded Hankel operators in the space [formula] generalizing in different directions the classical Hilbert matrix. We also discuss a link between representations of Toeplitz operators in the spaces [formula] and [formula].

Słowa kluczowe

EN

unbounded Hankel and Toeplitz operators; various representations; moment problems; generalized Hilbert matrices

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 1
• Strony: 189--218
• Opis fizyczny: Bibliogr. 24 poz.

Twórcy

autor

Yafaev D. R.

• Universite de Rennes I IRMAR Campus de Beaulieu, 35042 Rennes Cedex, France

Bibliografia

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• [18] D.R. Yafaev, Criteria for Hankel operators to be sign-definite, Analysis & PDE 8 (2015), 183-221.
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• [22] D.R. Yafaev, Unbounded Hankel operator and moment problems, Integral Equations Operator Theory 85 (2016), 289-300.
• [23] D.R. Yafaev, On semibounded Toeplitz operators, J. Oper. Theory 77 (2017), 101-112.
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Uwagi

EN

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).