- Working Paper
It was shown by Nachbin in 1950 that an n -dimensional normed space X is injective or equivalently is an absolute 1-Lipschitz retract if and only if X is linearly isometric to l n ∞ (i.e., R n endowed with the l ∞ -metric). We give an effective convex geometric characterization of injective convex polyhedra in l n ∞ . As an application, we prove that if the set of solutions to a linear system of inequalities with at most two variables per inequality is non-empty, then it is injective when endowed with the l ∞ -metric. Show more
Journal / seriesarXiv
Pages / Article No.
Organisational unit03500 - Lang, Urs / Lang, Urs
NotesSubmitted 27 October 2014.
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