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.
|Number of pages||9|
|Journal||Journal of Functional Analysis|
|Publication status||Published - 1 Mar 2010|
|MoE publication type||A1 Journal article-refereed|
- Bounded analytic function
- Composition operator
- Fredholm operator