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

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DOI

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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     title = {Finite-Dimensional {Subspaces} of the {p-Adic} {Space} l \ensuremath{\infty}},
     journal = {Canadian mathematical bulletin},
     pages = {360--365},
     year = {1995},
     volume = {38},
     number = {3},
     doi = {10.4153/CMB-1995-052-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-052-4/}
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