Weakly compact composition operators between algebras of bounded analytic functions

Galindo, Pablo; Lindström, Mikael; Ryan, Ray

doi:10.1090/S0002-9939-99-05196-5

Weakly compact composition operators between algebras of bounded analytic functions
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by Pablo Galindo, Mikael Lindström and Ray Ryan PDF

Proc. Amer. Math. Soc. 128 (2000), 149-155 Request permission

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 $\phi :B_{E} \to B_{F}$.

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