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COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES
JAVAD MASHREGHI, MAHMOOD SHABANKHAH
Journal:

Glasgow Mathematical Journal / Volume 55 / Issue 1 / January 2013

Published online by Cambridge University Press:

02 August 2012, pp. 69-83

Print publication:

January 2013
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We give a complete description of bounded composition operators on model subspaces KB, where B is a finite Blaschke product. In particular, if B has at least one finite pole, we show that the collection of all bounded composition operators on KB has a group structure. Moreover, if B has at least two distinct finite poles, this group is finite and cyclic.