COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 69-83
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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.
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
@article{10_1017_S0017089512000341,
author = {MASHREGHI, JAVAD and SHABANKHAH, MAHMOOD},
title = {COMPOSITION {OPERATORS} {ON} {FINITE} {RANK} {MODEL} {SUBSPACES}},
journal = {Glasgow mathematical journal},
pages = {69--83},
year = {2013},
volume = {55},
number = {1},
doi = {10.1017/S0017089512000341},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000341/}
}
TY - JOUR AU - MASHREGHI, JAVAD AU - SHABANKHAH, MAHMOOD TI - COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES JO - Glasgow mathematical journal PY - 2013 SP - 69 EP - 83 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000341/ DO - 10.1017/S0017089512000341 ID - 10_1017_S0017089512000341 ER -
%0 Journal Article %A MASHREGHI, JAVAD %A SHABANKHAH, MAHMOOD %T COMPOSITION OPERATORS ON FINITE RANK MODEL SUBSPACES %J Glasgow mathematical journal %D 2013 %P 69-83 %V 55 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000341/ %R 10.1017/S0017089512000341 %F 10_1017_S0017089512000341
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