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arXiv · 1907.05629

The structure of Schmidt subspaces of Hankel operators: a short proof

Alexander Pushnitski·Patrick Gerard
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Abstract

We give a short proof of the main result of our previous paper [2]: every Schmidt subspace of a Hankel operator is the image of a model space by an isometric multiplier. This class of subspaces is closely related to nearly $S^*$-invariant subspaces, and our proof uses Hitt's theorem on the structure of such subspaces. We also give a formula for the action of a Hankel operator on its Schmidt subspace.

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Alexander Pushnitski, Patrick Gerard. 2019-07-12. The structure of Schmidt subspaces of Hankel operators: a short proof. https://arxiv.org/abs/1907.05629

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