Asymmetric norms given by symmetrisation and specialisation order

DOI10.1016/j.topol.2018.04.009zbMath1394.54016OpenAlexW2799595941WikidataQ129976397 ScholiaQ129976397MaRDI QIDQ1637105

Jurie Conradie, Hans-Peter A. Künzi

Publication date: 7 June 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2018.04.009

zbMATH Keywords

Galois connectioninjectiveasymmetric norm\(T_0\)-quasi-metricmaximal quasi-metricproducing quasi-metricspecialisation order

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Projective and injective objects in functional analysis (46M10) Ordered normed spaces (46B40) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (1)

Universality theorems for asymmetric spaces

Cites Work

• Partially ordered metric spaces produced by \(T_{0}\)-quasi-metrics
• The Isbell-hull of a di-space
• Splitting metrics by \(T_0\)-quasi-metrics
• Asymmetric norms, cones and partial orders
• Compactness and finite dimension in asymmetric normed linear spaces
• Banach lattices
• Partially ordered locally convex vector spaces and extensions of positive continuous linear mappings
• The vector lattice structure on the Isbell-convex hull of an asymmetrically normed real vector space
• Compactness in asymmetric normed spaces
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