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Inner divisors and composition operators

✍ Scribed by Donald E Marshall; Kenneth Stephenson

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
991 KB
Volume
46
Category
Article
ISSN
0022-1236

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The present paper shows that the algebra C C generated by C Β¬ g Aut B is n 2 Ε½ . 2 Ε½ . 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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## Abstract We characterize and provide examples of the analytic self‐maps of the unit disc, which induce isometric com‐position operators on the space __BMOA__ equipped with a MΓΆbius invariant __H__^2^ norm (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)