| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621030 | Journal of Mathematical Analysis and Applications | 2008 | 4 Pages |
Abstract
We prove that each linear action of on an infinite-dimensional Banach space generated by compact operators cannot be hypercyclic. This result generalizes a theorem of Kitai for the case of Z+ actions. Contrary to the case of infinite dimension, a hypercyclic action of on C is given.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
