Proper holomorphic mappings of the spectral unit ball
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- Proc. Amer. Math. Soc. 136 (2008), 2869-2874 Request permission
Abstract:
We prove an Alexander type theorem for the spectral unit ball $\Omega _{n}$ showing that there are no non-trivial proper holomorphic mappings in $\Omega _{n}$, $n\geq 2$.References
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Additional Information
- Włodzimierz Zwonek
- Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
- Email: Wlodzimierz.Zwonek@im.uj.edu.pl
- Received by editor(s): April 5, 2007
- Published electronically: March 28, 2008
- Additional Notes: This research was partially supported by Research Grant No. 1 PO3A 005 28 of the Polish Ministry of Science and Higher Education.
- Communicated by: Mei-Chi Shaw
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 2869-2874
- MSC (2000): Primary 32H35; Secondary 15A18, 32C25, 47N99
- DOI: https://doi.org/10.1090/S0002-9939-08-09512-9
- MathSciNet review: 2399052