Weakly compact composition operators between algebras of bounded analytic functions

Pablo Galindo; Mikael Lindström; Ray Ryan

doi:10.1090/s0002-9939-99-05196-5

Weakly compact composition operators between algebras of bounded analytic functions

Pablo Galindo, Mikael Lindström, Ray Ryan

Mathematics

Research output: Contribution to journal › Article › Scientific › peer-review

15 Citations (Scopus)

Abstract

We prove a characterization (up to the approximation property) of weakly compact composition operators C? : H?(BF) ? H?(BE) in terms of their inducing analytic maps ? : BE ? BF. ? 1999 American Mathematical Society.

Original language	English
Pages (from-to)	149-155
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	128
Issue number	1
DOIs	https://doi.org/10.1090/s0002-9939-99-05196-5
Publication status	Published - Jan 2000
MoE publication type	A1 Journal article-refereed

Keywords

weakly compact operator
composition operator
bounded analytic
functions on the open unit ball

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10.1090/s0002-9939-99-05196-5

Cite this

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title = "Weakly compact composition operators between algebras of bounded analytic functions",

abstract = "We prove a characterization (up to the approximation property) of weakly compact composition operators C? : H?(BF) ? H?(BE) in terms of their inducing analytic maps ? : BE ? BF. ? 1999 American Mathematical Society.",

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KW - weakly compact operator

KW - composition operator

KW - bounded analytic

KW - functions on the open unit ball

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Weakly compact composition operators between algebras of bounded analytic functions

Abstract

Keywords

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