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
✦ LIBER ✦
Polynomial algebras on classical banach spaces
✍ Scribed by Petr Hájek
- Book ID
- 110679350
- Publisher
- The Hebrew University Magnes Press
- Year
- 1998
- Tongue
- English
- Weight
- 459 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0021-2172
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