A refined nc Oka–Weil theorem
This short note refines a noncommutative (nc) Oka–Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorphic function can be represented as a free polynomial on each free compact nc set.
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| Veröffentlicht in: | Canadian mathematical bulletin 2023-03, Vol.66 (1), p.218-224 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | This short note refines a noncommutative (nc) Oka–Weil theorem by using a characterization of free compact nc sets based on the notion of dilation hulls. A consequence of it is that any free holomorphic function can be represented as a free polynomial on each free compact nc set. |
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| ISSN: | 0008-4395 1496-4287 |
| DOI: | 10.4153/S0008439521000916 |