## Non-Archimedean sequence spaces.(English)Zbl 0779.46053

Summary: Nuclearity, quasinormability and some other properties of a nonarchimedean Köthe sequence space are studied.

### MSC:

 46S10 Functional analysis over fields other than $$\mathbb{R}$$ or $$\mathbb{C}$$ or the quaternions; non-Archimedean functional analysis 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 46A45 Sequence spaces (including Köthe sequence spaces)