A theorem on iterations of polynomial maps in several variables
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- by Nilson C. Bernardes Jr. PDF
- Proc. Amer. Math. Soc. 126 (1998), 3037-3044 Request permission
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
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- Robin Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, No. 52, Springer-Verlag, New York-Heidelberg, 1977. MR 0463157, DOI 10.1007/978-1-4757-3849-0
- Vlastimil Pták, Norms and the spectral radius of matrices, Czechoslovak Math. J. 12(87) (1962), 555–557 (English, with Russian summary). MR 146190, DOI 10.21136/CMJ.1962.100539
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
- Received by editor(s): March 15, 1997
- Communicated by: Theodore W. Gamelin
- © Copyright 1998 American Mathematical Society
- 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