Invariant subspaces of perturbed backward shift
Functional Analysis
2024-08-09 v2 Complex Variables
Operator Algebras
Abstract
We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invariant subspaces. Kernels of certain perturbed Toeplitz operators are examples of the newly introduced nearly invariant subspaces.
Cite
@article{arxiv.2407.17352,
title = {Invariant subspaces of perturbed backward shift},
author = {Soma Das and Jaydeb Sarkar},
journal= {arXiv preprint arXiv:2407.17352},
year = {2024}
}
Comments
26 pages. revised and corrected