Weakly compact homomorphisms between small algebras of analytic functions

Pablo Galindo; Mikael Lindström

doi:10.1112/S0024609301008402

Weakly compact homomorphisms between small algebras of analytic functions

Pablo Galindo^*, Mikael Lindström

^*Korresponderande författare för detta arbete

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

5 Citeringar (Scopus)

Sammanfattning

The weak compactness of the composition operator C_Φ,(f) = f o 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.

Originalspråk	Engelska
Sidor (från-till)	715-726
Antal sidor	12
Tidskrift	Bulletin of the London Mathematical Society
Volym	33
Nummer	6
DOI	https://doi.org/10.1112/S0024609301008402
Status	Publicerad - nov. 2001
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

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title = "Weakly compact homomorphisms between small algebras of analytic functions",

abstract = "The weak compactness of the composition operator CΦ,(f) = f o 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.",

author = "Pablo Galindo and Mikael Lindstr{\"o}m",

note = "Funding Information: Research of the rst author partially supported by DGES (Spain) pr. 96-0758; research of the second author supported by the Academy of Finland.",

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AU - Lindström, Mikael

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AB - The weak compactness of the composition operator CΦ,(f) = f o 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.

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Weakly compact homomorphisms between small algebras of analytic functions

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