TY - JOUR
T1 - Fredholm composition operators on algebras of analytic functions on Banach spaces
AU - Galindo, P.
AU - Gamelin, T. W.
AU - Lindström, Mikael
N1 - Funding Information:
* Corresponding author. E-mail addresses: [email protected] (P. Galindo), [email protected] (T.W. Gamelin), [email protected] (M. Lindström). 1 Supported by Project 2007-64521 (MTM-FEDER, Spain). 2 Partially supported by Project 2007-64521 (MTM-FEDER, Spain).
PY - 2010/3/1
Y1 - 2010/3/1
N2 - We prove that Fredholm composition operators acting on the uniform algebra H∞ (BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.
AB - We prove that Fredholm composition operators acting on the uniform algebra H∞ (BE) of bounded analytic functions on the open unit ball of a complex Banach space E with the approximation property are invertible and arise from analytic automorphisms of the ball.
KW - Bounded analytic function
KW - Composition operator
KW - Fredholm operator
UR - http://www.scopus.com/inward/record.url?scp=70450263407&partnerID=8YFLogxK
U2 - 10.1016/j.jfa.2009.10.020
DO - 10.1016/j.jfa.2009.10.020
M3 - Article
AN - SCOPUS:70450263407
SN - 0022-1236
VL - 258
SP - 1504
EP - 1512
JO - Journal of Functional Analysis
JF - Journal of Functional Analysis
IS - 5
ER -