Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918521213026304 |
|---|---|
| author | B, Sneha Sarkar, Jaydeb Seto, Michio |
| author_facet | B, Sneha Sarkar, Jaydeb Seto, Michio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_25575 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$ B, Sneha Sarkar, Jaydeb Seto, Michio Functional Analysis Complex Variables Operator Algebras 47A15, 30H10, 42B30, 32A35 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. |
| title | Invariant subspaces of Jordan blocks of $H^2(\mathbb{D}^n)$ |
| topic | Functional Analysis Complex Variables Operator Algebras 47A15, 30H10, 42B30, 32A35 |
| url | https://arxiv.org/abs/2605.25575 |