Perturbations of Toeplitz operators on vector-valued Hardy spaces
Functional Analysis
2026-02-25 v2
Abstract
In this article, we completely classify invariant subspaces of finite-rank perturbations of a class of Toeplitz operators on vector-valued Hardy spaces. As a consequence, in the vector-valued setting, we characterize invariant and almost invariant subspaces of a class of Toeplitz operators, as well as nearly invariant subspaces associated with certain Blaschke-based operators. We further treat the finite defect case for these nearly invariant subspaces.
Cite
@article{arxiv.2507.05721,
title = {Perturbations of Toeplitz operators on vector-valued Hardy spaces},
author = {Arshad Khan and Sneh Lata and Dinesh Singh},
journal= {arXiv preprint arXiv:2507.05721},
year = {2026}
}