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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


Chaotic polynomials on Banach spaces
✍ Alfredo Peris 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 171 KB

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

Extendible Polynomials on Banach Spaces
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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