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Proceedings of the American Mathematical Society

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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
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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.


References [Enhancements On Off] (What's this?)

  • 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: 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

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