On the barrelledness of spaces of bounded vector functions
โ Scribed by Lech Drewnowski; Miguel Florencio; Pedro J. Paul
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 803 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0003-889X
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## Abstract In this paper we consider extensions of bounded vectorโvalued holomorphic (or harmonic or pluriharmonic) functions defined on subsets of an open set ฮฉ โ โ^__N__^ . The results are based on the description of vectorโvalued functions as operators. As an application we prove a vectorโvalue
We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly)