Every infinite dimensional separable non-normable Fre chet space admits a continuous hypercyclic operator. A large class of separable countable inductive limits of Banach spaces with the same property is given, but an example of a separable complete inductive limit of Banach spaces which admits no h
On quotients of non-Archimedean Fréchet spaces
✍ Scribed by Wiesław Śliwa
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 141 KB
- Volume
- 281
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
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)
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