Nearly invariant subspaces in the real Hardy space
Functional Analysis
2026-04-14 v1
Abstract
The objective of this article is to study nearly invariant subspaces of the backward shift operator on the real Hardy space. We also investigate nearly invariant subspaces with finite defect, and as a consequence, provide a characterization for almost invariant subspaces of the backward shift operator.
Keywords
Cite
@article{arxiv.2604.10240,
title = {Nearly invariant subspaces in the real Hardy space},
author = {Arshad Khan and Sneh Lata and Dinesh Singh},
journal= {arXiv preprint arXiv:2604.10240},
year = {2026}
}