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The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces
Authors:Erhan   al&#x    kan
Affiliation:Erhan Çalışkan
Abstract:We study the bounded approximation property for spaces of holomorphic functions. We show that if U is a balanced open subset of a Fréchet–Schwartz space or (DFM )‐space E , then the space ??(U ) of holomorphic mappings on U , with the compact‐open topology, has the bounded approximation property if and only if E has the bounded approximation property. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Approximation property  bounded approximation property  holomorphic mappings  germs of holomorphic functions
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