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A theorem on iterations of polynomial maps in several variables
Author(s):
Nilson
C.
Bernardes Jr.
Journal:
Proc. Amer. Math. Soc.
126
(1998),
3037-3044.
MSC (1991):
Primary 32H50, 26B99
MathSciNet review:
1458863
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Abstract:
We establish a polynomial version of a theorem obtained by Enflo, Gurarii, Lomonosov and Lyubich for linear operators. As a consequence, we also derive a polynomial version of a result due to Pták.
References:
- 1.
- P. Enflo, V. I. Gurarii, V. Lomonosov and Yu. I. Lyubich, Exponential numbers of linear operators in normed spaces, Linear Algebra Appl. 219 (1995), 225-260. MR 96c:47026
- 2.
- W. Fulton, Intersection Theory, Springer-Verlag, 1984. MR 85k:14004
- 3.
- R. Hartshorne, Algebraic Geometry, Springer-Verlag, 1977. MR 57:3116
- 4.
- V. Pták, Norms and the spectral radius of matrices, Czechoslovak Math. J. 12 (1962), 555-557. MR 26:3712
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Additional Information:
Nilson
C.
Bernardes
Jr.
Affiliation:
Instituto de Matemática, Universidade Federal Fluminense, Rua Mário Santos Braga s/n, 24020-140, Niterói, RJ, Brasil
Email:
ganncbj@vm.uff.br
DOI:
10.1090/S0002-9939-98-04483-9
PII:
S 0002-9939(98)04483-9
Received by editor(s):
March 15, 1997
Communicated by:
Theodore W. Gamelin
Copyright of article:
Copyright
1998,
American Mathematical Society
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