Polynomials and identities on real Banach spaces
✍ Scribed by Petr Hájek; Michal Kraus
- Book ID
- 113721443
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 217 KB
- Volume
- 385
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
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
We are concerned with the following question: when can a polynomial P: Ž . E ª X E and X are Banach spaces be extended to a Banach space containing E? We prove that the polynomials that are extendible to any larger space are Ž X . precisely those which can be extended to C B , if X is complemented