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CHAOTIC POLYNOMIALS IN SPACES OF CONTINUOUS AND DIFFERENTIABLE FUNCTIONS

Published online by Cambridge University Press:  01 May 2008

RICHARD M. ARON and
ALEJANDRO MIRALLES
RICHARD M. ARON
Affiliation:
Department of Mathematics, Kent State University Kent, OH 44240U.S.A. e-mail: aron@math.kent.edu
ALEJANDRO MIRALLES
Affiliation:
Departamento de Análisis Matemático Av/ Dr. Moliner, 50 Burjassot 46100Spain e-mail: alejandro.miralles@uv.es
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Abstract

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We construct chaotic m-homogeneous maps acting on $\mathcal{C}^{r}_{\mathtt{+}}( [0,\infty ))$ for any m ≥ 2, $r\in\mathbb{N}\cup\{0\},$ and on the Fréchet spaces $\mathcal{C}_{\mathbb{R}}(\mathbb{R})$ for odd values of m ≥ 3 and $\mathcal{C}_{\mathbb{C}}(\mathbb{R})$ for any m ≥ 2.

Keywords

Primary 47A16Secondary 47H60

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 2 , May 2008, pp. 319 - 323
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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