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Weakly compact composition operators between algebras of bounded analytic functions
Authors:Pablo Galindo  Mikael Lindströ  m  Ray Ryan
Institution:Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjasot, Valencia, Spain ; Department of Mathematics, Åbo Akademi University, FIN-20500 Åbo, Finland ; Department of Mathematics, University College Galway, Galway, Ireland
Abstract:We prove a characterization (up to the approximation property) of weakly compact composition operators $C_{\phi }:H^{\infty }(B_{F}) \to H^{\infty }(B_{E})$ in terms of their inducing analytic maps $\phi :B_{E} \to B_{F}$.

Keywords:Weakly compact operator  composition operator  bounded analytic functions on the open unit ball
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