Weakly Compact Homomorphisms Between Small Algebras of Analytic Functions |
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| Authors: | Galindo Pablo; Lindstrom Mikael |
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| Institution: | Departamento de Análisis Matemático, Universidad de Valencia 46100 Burjasot, Valencia, Spain; galindo{at}uv.es
Department of Mathematics, Åbo Akademi University FIN-20500 Åbo, Finland; mikael.lindstrom{at}abo.fi |
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| Abstract: | The weak compactness of the composition operator C (f) = f  acting on the uniform algebra of analytic uniformly continuousfunctions on the unit ball of a Banach space with the approximationproperty is characterized in terms of . The relationship betweenweak compactness and compactness of these composition operatorsand general homomorphisms is also discussed. 2000 MathematicsSubject Classification 46J15 (primary), 46E15, 46G20 (secondary). |
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