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Journal of Convex Analysis 17 (2010), No. 3&4, 1033--1055 Copyright Heldermann Verlag 2010 Distances between Closed Convex Cones: Old and New Results Alfredo Noel Iusem Inst. Matématica Pura e Aplicada, Estrada Dońa Castorina 110, Rio de Janeiro - CEP 22460-320, Brazil iusp@impa.br Alberto Seeger University of Avignon, Dept. of Mathematics, 33 Rue Louis Pasteur, 84000 Avignon, France alberto.seeger@univ-avignon.fr There are many ways of measuring the distance between two closed convex cones in a normed space. This work surveys the existing methods and discusses the merit of each one. Keywords: Convex cone, metric space, Lipschitz equivalence of metrics, geometry of normed spaces, metric projection. MSC: 46B40, 52A05 [ Fulltext-pdf (201 KB)] for subscribers only. |