Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Alfredo Noel Iusem

Inst. Matemática Pura e Aplicada, Estrada Doña Castorina 110, Rio de Janeiro - CEP 22460-320, Brazil

iusp@impa.br

Keywords

  • Convex cone
  • metric space
  • Lipschitz equivalence of metrics
  • geometry of normed spaces
  • metric projection

Mathematics Subject Classification

46B40, 52A05

Suggested citation

A. N. Iusem, A. Seeger. “Distances between Closed Convex Cones: Old and New Results.” Journal of Convex Analysis 17 (2010), No. 3&4, 1033–1055. https://doi.org/10.68381/jca17064

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Published by Heldermann Verlag, 2010. Rights now held by Banach Press.