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Weyl type theorems and hypercyclic operators II |
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| Authors: | Xiaohong Cao |
| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, People's Republic of China |
| Abstract: | In this note, the relation between hypercyclic operator matrices (or supercyclic operator matrices) and the operator matrices which satisfy Weyl type theorems is discussed. Also, using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for  for which a-Browder's theorem or a-Weyl's theorem holds. |
| Keywords: | a-Browder's theorem a-Weyl's theorem Weyl's theorem Browder's theorem hypercyclic operator |
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