Non-Archimedean sequence spaces. (English) Zbl 0779.46053

Katsaras, A. K.

Boll. Unione Mat. Ital., VII. Ser., B 5, No. 3, 703-725 (1991).

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)

Keywords:

nuclearity; quasinormability; nonarchimedean Köthe sequence space