Geodesic
CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS
Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 319-323

Voir la notice de l'article provenant de la source Cambridge University Press

We construct chaotic m-homogeneous maps acting on for any m ≥ 2, and on the Fréchet spaces for odd values of m ≥ 3 and for any m ≥ 2.
DOI : 10.1017/S0017089508004229
Mots-clés : Primary 47A16, Secondary 47H60 
ARON, RICHARD M.; MIRALLES, ALEJANDRO. CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS. Glasgow mathematical journal, Tome 50 (2008) no. 2, pp. 319-323. doi: 10.1017/S0017089508004229
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[1] 1.Bernardes, N.. On orbits of polynomial maps in Banach spaces, South African Math. Soc. 21 (1998), 311–318. Google Scholar

[2] 2.Birkhoff, G.Démonstration d'un théoréme elémentaire sur les fonctions entiéres, C. R. Acad. Sci. Paris 189 (1929), 473–475. Google Scholar

[3] 3.Giménez, F. Martínez, Universalidad, hiperciclicidad, y caos en espacios de Fréchet, Thesis (Universidad Politécnica de Valencia 2000). Google Scholar

[4] 4.Peris, A.Chaotic polynomials on fréchet spaces, Proc. Amer. Math. Soc. 127 (1999), 3601–3603; Erratum to Chaotic polynomials on fréchet spaces, Proc. Amer. Math. Soc. (2001), 3759–3760. Google Scholar | DOI

[5] 5.Peris, A.Chaotic polynomials on banach spaces, J. Math. Anal. Appl. 287 (2003), 487–493. Google Scholar | DOI

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