Nearly invariant brangesian subspaces
Functional Analysis
2025-02-19 v1
Abstract
This article describes Hilbert spaces contractively contained in certain reproducing kernel Hilbert spaces of analytic functions on the open unit disc which are nearly invariant under division by an inner function. We extend Hitt's theorem on nearly invariant subspaces of the backward shift operator on as well as its many generalizations to the setting of de Branges spaces.
Cite
@article{arxiv.2311.04510,
title = {Nearly invariant brangesian subspaces},
author = {Arshad Khan and Sneh Lata and Dinesh Singh},
journal= {arXiv preprint arXiv:2311.04510},
year = {2025}
}