In the Ž . generalized right half-planes and the unit balls contained in H and L L H, H , infinite-dimensional angular sets are defined, various new generalizations of the classical Pick᎐Julia theorem to infinite dimensions are proved, and conditions of Caratheodory᎐Fan type, guaranteeing the existe
✦ LIBER ✦
Factorization of holomorphic mappings in infinite dimensions
✍ Scribed by Richard M. Aron; Luiza A. Moraes; Raymond A. Ryan
- Publisher
- Springer
- Year
- 1987
- Tongue
- English
- Weight
- 607 KB
- Volume
- 277
- Category
- Article
- ISSN
- 0025-5831
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## 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 b
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