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Inner Functions and Cyclic Composition Operators on H2(Bn)

✍ Scribed by Chen Xiaoman; Cao Guangfu; Guo Kunyu

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 93 KB
Volume: 250
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.7091

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✦ Synopsis

The present paper shows that the algebra C C generated by C ¬ g Aut B is n 2 Ž .

2 Ž . cyclic on H B , and any nonconstant function f g H B is a cyclic vector of n n C C. In addition, the hypercyclic and cyclic composition operators will be discussed.

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