The bounded approximation property for spaces of holomorphic mappings on infinite dimensional spaces
MATHEMATISCHE NACHRICHTEN, vol.279, no.7, pp.705-715, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 279 Issue: 7
- Publication Date: 2006
- Doi Number: 10.1002/mana.200310387
- Journal Name: MATHEMATISCHE NACHRICHTEN
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.705-715
- Yıldız Technical University Affiliated: Yes
Abstract
We study the bounded approximation property for spaces of holomorphic functions. We show that if U is a balanced open subset of a Frechet-Schwartz space or (DFM)-space E, then the space R(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.