On a Banach space approximable by Jacobi polynomials
β Scribed by S. P. Yadav
- Book ID
- 110428213
- Publisher
- Akadmiai Kiad
- Year
- 2003
- Tongue
- English
- Weight
- 231 KB
- Volume
- 98
- Category
- Article
- ISSN
- 1588-2632
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π 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: Ε½ . E Βͺ 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 Ε½ X . precisely those which can be extended to C B , if X is complemented