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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

Alberto Seeger
University of Avignon, Dept. of Mathematics, 33 Rue Louis Pasteur, 84000 Avignon, France

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

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