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The group of automorphisms of the spectral ball
Author:
Łukasz Kosiński
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2029-2031
MSC (2010):
Primary 32M17; Secondary 32A07
Posted:
October 13, 2011
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Abstract: It is shown that the conjecture on the description of the group of automorphisms of the spectral ball posed by Ransford and White is false.
References
- 1.
Line
Baribeau and Thomas
Ransford, Non-linear spectrum-preserving maps, Bull. London
Math. Soc. 32 (2000), no. 1, 8–14. MR 1718765
(2000j:15008), http://dx.doi.org/10.1112/S0024609399006426
- 2.
Yasuichiro
Nishimura, Applications holomorphes injectives à jacobien
constant de deux variables, J. Math. Kyoto Univ. 26
(1986), no. 4, 697–709 (French). MR 864471
(87m:32054)
- 3.
Pascal
J. Thomas, A local form for the automorphisms of the spectral unit
ball, Collect. Math. 59 (2008), no. 3,
321–324. MR 2452310
(2009g:32047), http://dx.doi.org/10.1007/BF03191190
- 4.
T.
J. Ransford and M.
C. White, Holomorphic self-maps of the spectral unit ball,
Bull. London Math. Soc. 23 (1991), no. 3,
256–262. MR 1123334
(92g:32049), http://dx.doi.org/10.1112/blms/23.3.256
- 5.
Jérémie
Rostand, On the automorphisms of the spectral unit ball,
Studia Math. 155 (2003), no. 3, 207–230. MR 1961225
(2003m:32018), http://dx.doi.org/10.4064/sm155-3-2
- 6.
Włodzimierz
Zwonek, Proper holomorphic mappings of the
spectral unit ball, Proc. Amer. Math. Soc.
136 (2008), no. 8,
2869–2874. MR 2399052
(2009f:32033), http://dx.doi.org/10.1090/S0002-9939-08-09512-9
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Additional Information
Łukasz Kosiński
Affiliation:
Institute of Mathematics, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland
Email:
lukasz.kosinski@gazeta.pl
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11064-5
PII:
S 0002-9939(2011)11064-5
Keywords:
Spectral ball,
group of automorphisms
Received by editor(s):
December 16, 2010
Received by editor(s) in revised form:
February 8, 2011
Posted:
October 13, 2011
Additional Notes:
This work was partially supported by the grant of the Polish Ministry for Science and Higher Education No. N N201 361436.
Communicated by:
Franc Forstneric
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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