## Abstract We study the bounded approximation property for spaces of holomorphic functions. We show that if __U__ is a balanced open subset of a FrรฉchetโSchwartz space or (__DFM__ )โspace __E__ , then the space โ๏ธ(__U__ ) of holomorphic mappings on __U__ , with the compactโopen topology, has the b
On the distinguished character of the function spaces of holomorphic mappings of bounded type
โ Scribed by J.M Isidro
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 277 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let D be a bounded symmetric domain of tube type and 7 be the Shilov boundary of D. Denote by H 2 (D) and A 2 (D) the Hardy and Bergman spaces, respectively, of holomorphic functions on D; and let B(H 2 (D)) and B(A 2 (D)) denote the closed unit balls in these spaces. For an integer l 0 we define th
An example of two distinguished M c h e t spaces E, F is given (even more, E is quasinormable and F is normable) such that their completed injective tensor product E&F is not distinguished. On the other hand, it is proved that for arbitrary reflexive F r k h e t space E and arbitrary compact set K t