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arXiv · 2205.09105

Schmidt subspaces of Hankel operators

Maria T. Nowak Paweł Sobolewski Andrzej Sołtysiak
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Abstract

We consider bounded Hankel operators $H_{\psi}$ acting on the Hardy space $H^2$ to $L^2\ominus H^2$ and obtain results on the Schmidt subspaces $E^+_s(H_\psi)$ of such operators defined as the kernels of $ H_{\psi}^{\ast}H_{\psi}-s^2I$ where $s>0$. These spaces have been recently studied in \cite{GP} and \cite{GP1} in the context of anti-linear Hankel operators. We also discuss the range of the Hankel operators with symbols being the complex conjugates of functions in the unit ball of $H^{\infty}$.

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Maria T. Nowak Paweł Sobolewski Andrzej Sołtysiak. 2022-05-18. Schmidt subspaces of Hankel operators. https://arxiv.org/abs/2205.09105

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