Holomorphic functions on Fréchet-Montel spaces
✍ Scribed by Seán Dineen
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 309 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
Let X be a Banach space. Let ?i,.(X\*) the M e t space whose elements are the holomorphic functions defined on X\* whose restrictions to each multiple mB(X\*), m = 1,2, . . . , of the closed unit ball B ( X \* ) of X\* are continuous for the weak-star topology. A fundamental Hystem of norms for this
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)
## Abstract We characterize tame pairs (__X__, __Y__) of Fréchet spaces where either __X__ or __Y__ is a power series space. For power series spaces of finite type, we get the well‐known conditions of (__DN__)‐(Ω) type. On the other hand, for power series spaces of infinite type, surprisingly, tame