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.
| Comments: | 21 pages |
| Subjects: | Functional Analysis (math.FA); Complex Variables (math.CV); Operator Algebras (math.OA) |
| MSC classes: | 47A15, 30H10, 42B30, 32A35 |
| Cite as: | arXiv:2605.25575 [math.FA] |
| (or arXiv:2605.25575v1 [math.FA] for this version) | |
| https://doi.org/10.48550/arXiv.2605.25575 arXiv-issued DOI via DataCite (pending registration) |
From: Jaydeb Sarkar [view email]
[v1]
Mon, 25 May 2026 08:27:35 UTC (16 KB)
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