On Polynomial Operator Equations in Banach Space
โ Scribed by Amson, J. C.
- Book ID
- 120096003
- Publisher
- Oxford University Press
- Year
- 1975
- Tongue
- English
- Weight
- 91 KB
- Volume
- s2-10
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
๐ 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: ลฝ . E ยช 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 ลฝ X . precisely those which can be extended to C B , if X is complemented