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

Çalışkan Erhan | Zendy

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

Author(s) -

Çalışkan Erhan

Publication year - 2006

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200310387

Subject(s) - holomorphic function , bounded function , mathematics , approximation property , property (philosophy) , identity theorem , space (punctuation) , pure mathematics , topology (electrical circuits) , discrete mathematics , mathematical analysis , banach space , combinatorics , computer science , philosophy , epistemology , operating system

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 ℋ( 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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