Details

Autor(en) / Beteiligte

• Conradie, Jurie
• Künzi, Hans-Peter A.

Titel

Asymmetric norms given by symmetrisation and specialisation order

Ist Teil von

• Topology and its applications, 2018-06, Vol.242, p.1-19

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2018

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper we continue the investigations of the relationship between T0-quasi-metric spaces and partially ordered metric spaces. Among other things, we establish an equivalence of categories between so-called maximal T0-quasi-metric spaces and partially ordered metric spaces produced by T0-quasi-metrics. In the linear context we give geometric interpretations of the obtained results. In particular, we also derive a representation theorem for injective asymmetrically normed spaces.