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
✦ LIBER ✦
Orlicz-Pettis Polynomials on Banach Spaces
✍ Scribed by Manuel González; Joaquín M. Gutiérrez
- Publisher
- Springer Vienna
- Year
- 2000
- Tongue
- English
- Weight
- 102 KB
- Volume
- 129
- Category
- Article
- ISSN
- 0026-9255
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Extendible Polynomials on Banach Spaces
✍
Daniel Carando
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 114 KB
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
Interpolation in quasi-Banach Orlicz spa
✍
V. I. Ovchinnikov
📂
Article
📅
1983
🏛
Springer US
🌐
English
⚖ 137 KB
On the Dunford-Pettis property and Banac
✍
S. Simons
📂
Article
📅
1975
🏛
Springer
🌐
English
⚖ 299 KB
Orlicz sequence spaces of Banach-Saks ty
✍
Helmut Knaust
📂
Article
📅
1992
🏛
Springer
🌐
English
⚖ 169 KB
Weakly Continuous Mappings on Banach Spa
✍
M. Gonzalez; J.M. Gutierrez
📂
Article
📅
1993
🏛
Elsevier Science
🌐
English
⚖ 494 KB