Testing von Neumann inequalities with nilpotent matrices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866918208304316416 |
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| author | Knese, Greg |
| author_facet | Knese, Greg |
| contents | We give an elementary proof of the folklore result that the Agler norm of a function is determined by its norm on commuting tuples of nilpotent matrices. The proof is variation on a standard cone separation argument. The topic is closely related to the Eschmeier-Patton-Putinar formulation of Carathéodory-Fejér interpolation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_15671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Testing von Neumann inequalities with nilpotent matrices Knese, Greg Functional Analysis Complex Variables 47A48, 47A13, 32A35, 32A38 We give an elementary proof of the folklore result that the Agler norm of a function is determined by its norm on commuting tuples of nilpotent matrices. The proof is variation on a standard cone separation argument. The topic is closely related to the Eschmeier-Patton-Putinar formulation of Carathéodory-Fejér interpolation. |
| title | Testing von Neumann inequalities with nilpotent matrices |
| topic | Functional Analysis Complex Variables 47A48, 47A13, 32A35, 32A38 |
| url | https://arxiv.org/abs/2501.15671 |