COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 69-83

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DOI

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.
DOI : 10.1017/S0017089512000341
Mots-clés : Primary: 47B33, Secondary: 30D50, 32A35
MASHREGHI, JAVAD; SHABANKHAH, MAHMOOD. COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 69-83. doi: 10.1017/S0017089512000341
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     journal = {Glasgow mathematical journal},
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     year = {2013},
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     doi = {10.1017/S0017089512000341},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000341/}
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