\((t)\)-orthogonality in \(p\)-adic Banach spaces

DOI10.5802/AMBP.20zbMath0834.46061OpenAlexW2028341100MaRDI QIDQ1898742

S. Borrey

Publication date: 10 April 1996

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_61_0

zbMATH Keywords

orthogonalityHahn-Banach extension propertyabsolutely convexcompactoidnessdistances to convex hullsweakly \(c'\)- compact subset

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10)

Cites Work

• Weakly \(c'\)-compact subsets of non-archimedean Banach spaces over a spherically complete field
• On the Krein-Milman theorem in vector spaces over a non-Archimedean valued field \(K\)
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