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Non-quasianalytic curves in Fréchet spaces

✍ Scribed by Jordi Juan-Huguet

Publisher
Springer Vienna
Year
2010
Tongue
English
Weight
176 KB
Volume
164
Category
Article
ISSN
0026-9255

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## 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)