Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



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
MathSciNet review: 1458863
Full-text PDF

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

Similar Articles

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

Received by editor(s): March 15, 1997
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1998 American Mathematical Society

American Mathematical Society