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

^*Tämän työn vastaava kirjoittaja

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

5 Sitaatiot (Scopus)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	715-726
Sivumäärä	12
Julkaisu	Bulletin of the London Mathematical Society
Vuosikerta	33
Numero	6
DOI - pysyväislinkit	https://doi.org/10.1112/S0024609301008402
Tila	Julkaistu - marrask. 2001
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

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10.1112/S0024609301008402

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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.",

year = "2001",

month = nov,

doi = "10.1112/S0024609301008402",

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AU - Galindo, Pablo

AU - Lindström, Mikael

N1 - 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.

PY - 2001/11

Y1 - 2001/11

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0035513330&partnerID=8YFLogxK

U2 - 10.1112/S0024609301008402

DO - 10.1112/S0024609301008402

M3 - Article

SN - 0024-6093

VL - 33

SP - 715

EP - 726

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 6

ER -

Weakly compact homomorphisms between small algebras of analytic functions

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