The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields. (English) Zbl 0832.46069

Kąkol, Jerzy

Ann. Math. Blaise Pascal 2, No. 1, 147-153 (1995).

Summary: Characterizations of the spherical completeness of a non-Archimedean complete non-trivially valued field in terms of classical theorems of Functional Analysis are obtained.

MSC:

46S10	Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
46A20	Duality theory for topological vector spaces

Keywords:

Mackey-Arens and Hahn-Banach theorems; spherical completeness of a non- Archimedean complete non-trivially valued field

References:

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