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Weakly compact composition operators between algebras of bounded analytic functions

Galindo, Pablo
; 
Lindström, Mikael
; 
Ryan, Ray
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http://hdl.handle.net/10379/9198
 https://doi.org/10.13025/24143
Publication Date
2000-01-01
Keywords
Externally hosted open access publications with University of Galway authors, composition operator, bounded analytic, functions on the open unit ball, holomorphic-functions, frechet spaces, banach-spaces, mappings, homomorphisms, polynomials, theorem
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journal article
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Galindo, Pablo; Lindström, Mikael; Ryan, Ray (2000). Weakly compact composition operators between algebras of bounded analytic functions. Proceedings of the American Mathematical Society 128 (1), 149-155
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.
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American Mathematical Society (AMS)
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