Inner Functions and Cyclic Composition Operators on H(Bn) |
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| Authors: | Chen Xiaoman Cao Guangfu Guo Kunyu |
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| Affiliation: | a Department of Mathematics, Fudan University, People's Republic of China;b Department of Mathematics, Sichuan University, Chengdu, Sichuan, 610064, People's Republic of China;c Department of Mathematics, Fudan University, People's Republic of China |
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| Abstract: | The present paper shows that the algebra  generated by {C |  Aut(Bn)} is cyclic on H2(Bn), and any nonconstant function f H2(Bn) is a cyclic vector of . In addition, the hypercyclic and cyclic composition operators will be discussed. |
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| Keywords: | composition operator algebra cyclic vector hypercyclic vector |
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