|
|||||
|
|
On hypercyclic operators on Banach spaces |
|
| Authors: | Luis Bernal-Gonzá lez |
| Affiliation: | Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Sevilla, Apdo. 1160, Sevilla 41080, Spain |
| Abstract: | We provide in this paper a direct and constructive proof of the following fact: for a Banach space  there are bounded linear operators having hypercyclic vectors if and only if  is separable and dim . This is a special case of a recent result, which in turn solves a problem proposed by S. Rolewicz. |
| Keywords: | Hypercyclic vector linear operator infinite-dimensional separable Banach space biorthogonal system backward weighted shift |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |