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Fredholm composition operators on algebras of analytic functions on Banach spaces |
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| Authors: | P Galindo TW Gamelin |
| Institution: | a Departamento de Análisis Matemático, Universidad de Valencia, 46.100, Burjasot, Valencia, Spain b Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA c Department of Mathematical Sciences, PO Box 3000, FIN-90014, University of Oulu, Finland |
| Abstract: | 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. |
| Keywords: | Composition operator Fredholm operator Bounded analytic function |
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