Weyl type theorem and hypercyclic operators |
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| Authors: | Xiaohong Cao |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, People's Republic of China |
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| Abstract: | Using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for T for which the a-Browder's theorem or the a-Weyl's theorem holds. Also, the relation between hypercyclic operators (or supercyclic operators) and the operators which satisfy Weyl type theorem is discussed. |
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| Keywords: | a-Weyl's theorem a-Browder's theorem Hypercyclic operator Supercyclic operator |
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