| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4620492 | Journal of Mathematical Analysis and Applications | 2009 | 9 Pages |
Abstract
We provide sufficient conditions which give uniform distributional chaos for backward shift operators. We also compare distributional chaos with other well-studied notions of chaos for linear operators, like Devaney chaos and hypercyclicity, and show that Devaney chaos implies uniform distributional chaos for weighted backward shifts, but there are examples of backward shifts which are uniformly distributionally chaotic and not hypercyclic.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
