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Chaotic polynomials on Banach spaces

✍ Scribed by Alfredo Peris

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
171 KB
Volume
287
Category
Article
ISSN
0022-247X

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✦ Synopsis

We show the existence of chaotic (in the sense of Devaney) polynomials on Banach spaces of q-summable sequences. Such polynomials P consist of composition of the backward shift with a certain fixed polynomial p of one complex variable on each coordinate. In general we also prove that P is chaotic in the sense of Auslander and Yorke if and only if 0 belongs to the Julia set of p.

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