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arXiv · 2006.12474

On compact Hankel operators over compact Abelian groups

A. R. Mirotin
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Abstract

We consider compact and connected Abelian group $G$ with a linearly ordered dual. Based on the description of the structure of compact Hankel operators over $G$, generalizations of the classical Kronecker, Hartman, Peller and Adamyan-Arov-Krein theorems are obtained. A generalization of Burling's invariant subspace theorem is also established. Applications are given to Hankel operators over discrete groups

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A. R. Mirotin. 2020-06-22. On compact Hankel operators over compact Abelian groups. https://arxiv.org/abs/2006.12474

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