## 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
On the Approximation Properties for the Space H∞
✍ Scribed by Jean Bourgain; Oleg Reinov
- Publisher
- John Wiley and Sons
- Year
- 1985
- Tongue
- English
- Weight
- 384 KB
- Volume
- 122
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
It is unknown whether the HARDY space Hhas the approximation property.
However, it will be shown that for each p f 1 Ha has the approximation property AP,, defined below (see also [6]), and, moreover, Hn has the approximation property ''up to log n" (see Theorem 9).
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