Remarks on spherical completeness of non-archimedean valued fields

DOI10.1016/0019-3577(94)90007-8zbMath0826.46072OpenAlexW2020810938MaRDI QIDQ1344162

Jerzy Kąkol

Publication date: 27 November 1995

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0019-3577(94)90007-8

zbMATH Keywords

Mackey topologyspherically completespherical completeness of non-Archimedean valued fields

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20)

Related Items (3)

The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields ⋮ Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks ⋮ Lindelöf spaces C(X) over topological groups

Cites Work

• A note on the lifting of linear and locally convex topologies on a quotient space
• The Mackey-Arens theorem for non-locally convex spaces
• Linear topologies which are suprema of dual-less topologies
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