Weakly compact composition operators between algebras of bounded analytic functions

Pablo Galindo; Mikael Lindström; Raymond A. Ryan

doi:10.13025/24143

Weakly compact composition operators between algebras of bounded analytic functions

Pablo Galindo
, Mikael Lindström
, Raymond A. Ryan

Mathematics

University of Valencia
University of Galway
Åbo Akademi University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

15 Citations (Scopus)

Abstract

We prove a characterization (up to the approximation property) of weakly compact composition operators C-phi:H-infinity(B-F) -- H-infinity(B-E) in terms of their inducing analytic maps phi : B-E -- B-F.

Original language	English (Ireland)
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/10.13025/24143 https://doi.org/10.1090/s0002-9939-99-05196-5
Publication status	Published - 1 Jan 2000

Keywords

Bounded analytic functions on the open unit ball
Composition operator
Weakly compact operator

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10.13025/24143Licence: CC BY-NC-ND
10.1090/s0002-9939-99-05196-5

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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-phi:H-infinity(B-F) -- H-infinity(B-E) in terms of their inducing analytic maps phi : B-E -- B-F.",

keywords = "Bounded analytic functions on the open unit ball, Composition operator, Weakly compact operator",

author = "Pablo Galindo and Mikael Lindstr{\"o}m and Ryan, \{Raymond A.\}",

year = "2000",

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T1 - Weakly compact composition operators between algebras of bounded analytic functions

AU - Galindo, Pablo

AU - Lindström, Mikael

AU - Ryan, Raymond A.

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N2 - We prove a characterization (up to the approximation property) of weakly compact composition operators C-phi:H-infinity(B-F) -- H-infinity(B-E) in terms of their inducing analytic maps phi : B-E -- B-F.

AB - We prove a characterization (up to the approximation property) of weakly compact composition operators C-phi:H-infinity(B-F) -- H-infinity(B-E) in terms of their inducing analytic maps phi : B-E -- B-F.

KW - Bounded analytic functions on the open unit ball

KW - Composition operator

KW - Weakly compact operator

UR - http://hdl.handle.net/10379/9198

UR - https://www.scopus.com/pages/publications/22844456487

U2 - 10.13025/24143

DO - 10.13025/24143

M3 - Article

VL - 128

SP - 149

EP - 155

JO - Proceedings Of The American Mathematical Society

JF - Proceedings Of The American Mathematical Society

IS - 1

ER -

Weakly compact composition operators between algebras of bounded analytic functions

Abstract

Keywords

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