6533b85dfe1ef96bd12bf110
RESEARCH PRODUCT
WEAKLY COMPACT HOMOMORPHISMS BETWEEN SMALL ALGEBRAS OF ANALYTIC FUNCTIONS
Mikael LindströmPablo Galindosubject
Pure mathematicsUniform continuityCompact spaceApproximation propertyComposition operatorComputer Science::Information RetrievalGeneral MathematicsUniform algebraBanach spaceNon-analytic smooth functionMathematicsAnalytic functiondescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2001-11-01 | Bulletin of the London Mathematical Society |