| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619665 | Journal of Mathematical Analysis and Applications | 2010 | 6 Pages |
Abstract
In this note we define the property (ω1), a variant of Weyl's theorem, and establish for a bounded linear operator defined on a Banach space the sufficient and necessary conditions for which property (ω1) holds by means of the variant of the essential approximate point spectrum σ1(⋅). In addition, the relation between property (ω1) and hypercyclicity (or supercyclicity) is discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
