Weyl type theorems and hypercyclic operators II
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- by Xiaohong Cao PDF
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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 $A$ for which a-Browder’s theorem or a-Weyl’s theorem holds.References
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Additional Information
- Xiaohong Cao
- Affiliation: College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, People’s Republic of China
- Email: xiaohongcao@snnu.edu.cn
- Received by editor(s): October 24, 2005
- Received by editor(s) in revised form: December 21, 2005, and January 24, 2006
- Published electronically: November 13, 2006
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1701-1708
- MSC (2000): Primary 47A15, 47A53, 47A55
- DOI: https://doi.org/10.1090/S0002-9939-06-08665-5
- MathSciNet review: 2286079