Chaos for Cowen-Douglas operators
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- by Bingzhe Hou, Puyu Cui and Yang Cao PDF
- Proc. Amer. Math. Soc. 138 (2010), 929-936 Request permission
Abstract:
In this article, we provide a sufficient condition which gives Devaney chaos and distributional chaos for Cowen-Douglas operators. In fact, we obtain a distributionally chaotic criterion for bounded linear operators on Banach spaces.References
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Additional Information
- Bingzhe Hou
- Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
- Email: houbz@jlu.edu.cn
- Puyu Cui
- Affiliation: Department of Mathematics, Dalian University of Technology, 116024, Dalian, People’s Republic of China
- Email: cuipuyu1234@sina.com.cn
- Yang Cao
- Affiliation: Department of Mathematics, Jilin University, 130012, Changchun, People’s Republic of China
- Email: caoyang@jlu.edu.cn
- Received by editor(s): January 4, 2009
- Received by editor(s) in revised form: April 16, 2009
- Published electronically: October 28, 2009
- Additional Notes: The first author is supported by the Youth Foundation of the Department of Mathematics, Jilin University
- Communicated by: Bryna Kra
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 929-936
- MSC (2000): Primary 47B37, 47B99; Secondary 54H20, 37B99
- DOI: https://doi.org/10.1090/S0002-9939-09-10046-1
- MathSciNet review: 2566559