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Finite-Dimensional Subspaces of the p-Adic Space ℓ∞
Published online by Cambridge University Press: 20 November 2018
Abstract
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).
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- Copyright © Canadian Mathematical Society 1995
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