Natural metrics on faceless cones

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 English Publisher:Springer Science and Business Media LLCJournal:Annali di Matematica Pura ed Applicata, volume 127, pages 173-185 (issn: 0373-3114, eissn: 1618-1891,

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Authors: Schaeffer, Juan Jorge;

doi: 10.1007/bf01811723

Natural metrics on faceless cones

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Abstract

A genuine faceless cone is a non-empty linear cone that is open in some linear topology and includes no line. This paper describes all assignments of metrics to genuine faceless cones such that every linear mapping between cones is a contraction.

Keywords

Metric spaces, metrizability, linear map, contraction, metrized genuine faceless cones, Linear operators on ordered spaces, Special maps on metric spaces, Ordered topological linear spaces, vector lattices

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