Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$
Functional Analysis
2026-05-26 v1 Complex Variables
Operator Algebras
Abstract
It is known that invariant subspaces of classical Jordan blocks of the Hardy space over the open unit disc are described by factorizations of inner functions. In the polydisc setting, Jordan blocks are tensor products of one-variable Jordan blocks. We provide representations of their doubly commuting invariant subspaces.
Cite
@article{arxiv.2605.25575,
title = {Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$},
author = {Sneha B and Jaydeb Sarkar and Michio Seto},
journal= {arXiv preprint arXiv:2605.25575},
year = {2026}
}
Comments
21 pages