Proceedings of the American Mathematical Society

Author(s): Wlodzimierz Zwonek
Journal: Proc. Amer. Math. Soc. 136 (2008), 2869-2874.
MSC (2000): Primary 32H35; Secondary 15A18, 32C25, 47N99
Posted: March 28, 2008
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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 $\Omega _{n}$ , $n\geq 2$ .

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32H35, 15A18, 32C25, 47N99

Wlodzimierz Zwonek
Affiliation: Instytut Matematyki, Uniwersytet Jagiellonski, Reymonta 4, 30-059 Kraków, Poland
Email: Wlodzimierz.Zwonek@im.uj.edu.pl

DOI: 10.1090/S0002-9939-08-09512-9
PII: S 0002-9939(08)09512-9
Keywords: Spectral unit ball, proper holomorphic mappings, symmetrized polydisc
Received by editor(s): April 5, 2007
Posted: 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 of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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