Geodesic
Finite-Dimensional Subspaces of the p-Adic Space l ∞
Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 360-365

Voir la notice de l'article provenant de la source Cambridge University Press

For finite-dimensional subspaces of l ∞ over a non-archimedean valued base field K we study orthocomplementation as related to the Hahn-Banach property and strictness. As a corollary we obtain that, if K is not spherically complete, a closed hyperplane in c0 having the Hahn-Banach property is orthocomplemented (Theorem 2.1, Remark 2).
DOI : 10.4153/CMB-1995-052-4
Mots-clés : 46S10 
Perez-Garcia, C.; Schikhof, Wim H. Finite-Dimensional Subspaces of the p-Adic Space l ∞. Canadian mathematical bulletin, Tome 38 (1995) no. 3, pp. 360-365. doi: 10.4153/CMB-1995-052-4
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