Liftings and invariant subspaces of Hankel operators
Functional Analysis
2025-04-02 v3 Complex Variables
Operator Algebras
Abstract
We prove a Hankel-variant commutant lifting theorem. This also uncovers the complete structure of the Beurling-type reducing and invariant subspaces of Hankel operators. Kernel spaces of Hankel operators play a key role in the analysis.
Cite
@article{arxiv.2408.13753,
title = {Liftings and invariant subspaces of Hankel operators},
author = {Sneha B and Neeru Bala and Samir Panja and Jaydeb Sarkar},
journal= {arXiv preprint arXiv:2408.13753},
year = {2025}
}
Comments
19 pages. Revised. To appear in Publicacions Matem\`atiques