A theorem on iterations
of polynomial maps in several variables
Author:
Nilson C. Bernardes Jr.
Journal:
Proc. Amer. Math. Soc. 126 (1998), 3037-3044
MSC (1991):
Primary 32H50, 26B99
DOI:
https://doi.org/10.1090/S0002-9939-98-04483-9
MathSciNet review:
1458863
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
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.
- 1. P. Enflo, V. I. Gurariĭ, V. Lomonosov, and Yu. I. Lyubich, Exponential numbers of linear operators in normed spaces, Linear Algebra Appl. 219 (1995), 225–260. MR 1327403, https://doi.org/10.1016/0024-3795(93)00217-N
- 2. William Fulton, Intersection theory, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], vol. 2, Springer-Verlag, Berlin, 1984. MR 732620
- 3. Robin Hartshorne, Algebraic geometry, Springer-Verlag, New York-Heidelberg, 1977. Graduate Texts in Mathematics, No. 52. MR 0463157
- 4. Vlastimil Pták, Norms and the spectral radius of matrices, Czechoslovak Math. J. 12 (87) (1962), 555–557 (English, with Russian summary). MR 0146190
Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 32H50, 26B99
Retrieve articles in all journals with MSC (1991): 32H50, 26B99
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:
https://doi.org/10.1090/S0002-9939-98-04483-9
Received by editor(s):
March 15, 1997
Communicated by:
Theodore W. Gamelin
Article copyright:
© Copyright 1998
American Mathematical Society
