The Mackey-Arens and Hahn-Banach theorems for spaces over valued fields

DOI10.5802/ambp.26zbMath0832.46069OpenAlexW2315452016MaRDI QIDQ1898749

Jerzy Kąkol

Publication date: 25 September 1995

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_1_147_0

zbMATH Keywords

Mackey-Arens and Hahn-Banach theoremsspherical completeness of a non- Archimedean complete non-trivially valued field

Mathematics Subject Classification ID

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

Related Items

Mackey topology on locally convex spaces and on locally quasi-convex groups. Similarities and historical remarks ⋮ Best proximity pairs in ultrametric spaces

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
• Remarks on spherical completeness of non-archimedean valued fields
• THE HAHN-BANACH EXTENSION PROPERTY IN A CLASS OF NORMED SPACES
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