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Bulletin of the London Mathematical Society Advance Access originally published online on December 21, 2006
Bulletin of the London Mathematical Society 2007 39(1):151-155; doi:10.1112/blms/bdl012
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© 2006 London Mathematical Society

Isometries of the Bloch space among the composition operators

María J. Martín and Dragan Vukotic

Departamento de Matemáticas
Universidad Autónoma de Madrid
28049 Madrid
Spain
mjose.martin{at}uam.es
dragan.vukotic{at}uam.es

Received 20 June 2005. Revision received 17 January 2006.

We characterize all isometries among the composition operators acting on the Bloch space in terms of the hyperbolic derivative and cluster set of the symbol, and display a class of nontrivial examples.


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