Toeplitz versus Hankel: semibounded operators

• Autorzy: Yafaev D. R.

Identyfikatory

DOI

10.7494/OpMath.2018.38.4.573

• Języki publikacji: EN

Abstrakty

EN

Our goal is to compare various results for Toeplitz T and Hankel H operators. We consider semibounded operators and find necessary and sufficient conditions for their quadratic forms to be closable. This property allows one to define T and H as self-adjoint operators under minimal assumptions on their matrix elements. We also describe domains of the closed Toeplitz and Hankel quadratic forms.

Słowa kluczowe

EN

semibounded Toeplitz Hankel and Wiener-Hopf operators; closable and closed quadratic forms

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2018
• Tom: Vol. 38, no. 4
• Strony: 573--590
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Yafaev D. R.

• Universite de Rennes I IRMAR Campus de Beaulieu, 35042 Rennes Cedex, France SPGU Univ. Nab. 7/9, Saint Petersburg 199034 Russia

Bibliografia

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Uwagi

PL

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).