Limits of J-class operators
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- by Geng Tian and Bingzhe Hou PDF
- Proc. Amer. Math. Soc. 142 (2014), 1663-1667 Request permission
Abstract:
The purpose of the present work is to answer an open problem which was raised by G. Costakis and A. Manoussos in their paper “J-class operators and hypercyclicity”, J. Operator Theory 67 (2012), 101-119. More precisely, we give the spectral description of the closure of the set of J-class operators acting on a separable Hilbert space.References
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Additional Information
- Geng Tian
- Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
- Email: tiangeng09@mails.jlu.edu.cn
- Bingzhe Hou
- Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
- Email: houbz@jlu.edu.cn
- Received by editor(s): October 16, 2010
- Received by editor(s) in revised form: June 11, 2012
- Published electronically: February 12, 2014
- Additional Notes: This work was supported by the National Nature Science Foundation of China (Grant No. 11001099)
- Communicated by: Richard Rochberg
- © Copyright 2014
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 142 (2014), 1663-1667
- MSC (2000): Primary 47A55, 47A53, 47A16; Secondary 54H20, 37B99
- DOI: https://doi.org/10.1090/S0002-9939-2014-11891-0
- MathSciNet review: 3168472