## Abstract It is proved when a non‐Archimedean Fréchet space __E__ of countable type has a quotient isomorphic to 𝕂^ℕ^, __c__^ℕ^~0~ or __c__~0~ × 𝕂^ℕ^. It is also shown when __E__ has a non‐normable quotient with a continuous norm. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Spaces of Holomorphic Germs on Quotients
✍ Scribed by J.M. Ansemil; S. Ponte
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 233 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0022-247X
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📜 SIMILAR VOLUMES
The principal aim of this note is to improve an exponential law [4] for spaces of holoniorphic functions. We shall show that sequential completeness (instead of completeness) suffices for the target space. Incidentally we prove theorems which are interesting in their own right. Recall that a converg
## 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