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WEAKLY COMPACT HOMOMORPHISMS BETWEEN SMALL ALGEBRAS OF ANALYTIC FUNCTIONS

Published online by Cambridge University Press:  28 November 2001

PABLO GALINDO  and
MIKAEL LINDSTRÖM
PABLO GALINDO
Affiliation:
Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjasot, Valencia, Spain; [email protected]
MIKAEL LINDSTRÖM
Affiliation:
Department of Mathematics, Åbo Akademi University, FIN-20500 Åbo, Finland; [email protected]
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Abstract

The weak compactness of the composition operator CΦ(f) = f ○ Φ acting on the uniform algebra of analytic uniformly continuous functions on the unit ball of a Banach space with the approximation property is characterized in terms of Φ. The relationship between weak compactness and compactness of these composition operators and general homomorphisms is also discussed.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 715 - 726
Copyright
© The London Mathematical Society 2001

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