On the bounded compact approximation property and measures of noncompactness
✍ Scribed by Kari Astala; Hans-Olav Tylli
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 643 KB
- Volume
- 70
- Category
- Article
- ISSN
- 0022-1236
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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
We estimate the ideal measure of certain interpolated operators in terms of the measure of their restrictions to the intersection. The dual situation is also studied. Special attention is paid to the ideal of weakly compact operators. 1991 Mathematics Subject Classajication. 46B70, 46M35. Keywords