Geodesic
Compact homomorphisms between algebras of analytic functions
Studia Mathematica, Tome 123 (1997) no. 3, pp. 235-247 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove that every weakly compact multiplicative linear continuous map from $H^∞(D)$ into $H^∞(D)$ is compact. We also give an example which shows that this is not generally true for uniform algebras. Finally, we characterize the spectra of compact composition operators acting on the uniform algebra $H^∞(B_E)$, where $B_E$ is the open unit ball of an infinite-dimensional Banach space E. 
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Richard Aron;  ;  . Compact homomorphisms between algebras of analytic functions. Studia Mathematica, Tome 123 (1997) no. 3, pp. 235-247. doi: 10.4064/sm-123-3-235-247

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