Automorphism groups of symmetric domains in Hilbert spaces form a natural class of infinite dimensional Lie algebras and corresponding Banach Lie groups. We give a classification of the algebraic category of unitary highest weight modules for such Lie algebras and show that infinite dimensional vers
✦ LIBER ✦
Sheaves of holomorphic functions on infinite dimensional vector spaces
✍ Scribed by Seán Dineen
- Publisher
- Springer
- Year
- 1973
- Tongue
- English
- Weight
- 379 KB
- Volume
- 202
- 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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