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arXiv · 1711.02614

Toeplitz versus Hankel: semibounded operators

D. R. Yafaev
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Abstract

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.

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D. R. Yafaev. 2017-11-07. Toeplitz versus Hankel: semibounded operators. https://arxiv.org/abs/1711.02614

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