The structure of Schmidt subspaces of Hankel operators: a short proof
Functional Analysis
2019-07-15 v1 Complex Variables
Spectral Theory
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 -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.
Keywords
Cite
@article{arxiv.1907.05629,
title = {The structure of Schmidt subspaces of Hankel operators: a short proof},
author = {Alexander Pushnitski and Patrick Gerard},
journal= {arXiv preprint arXiv:1907.05629},
year = {2019}
}