| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619803 | Journal of Mathematical Analysis and Applications | 2009 | 9 Pages |
Abstract
A vector x in a Hilbert space H is called irregular for an operator provided that supn‖Tnx‖=∞ and infn‖Tnx‖=0. We establish some basic properties of operators having irregular vectors and present examples that highlight the relationship, or lack thereof, between irregularity and hypercyclicity.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
