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The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces

✍ Scribed by Erhan Çalışkan

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
175 KB
Volume
279
Category
Article
ISSN
0025-584X

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✦ Synopsis

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 ℋ︁(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)

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