Closedness of bounded convex sets of asymmetric normed linear spaces and the Hausdorff quasi-metric

zbMath1126.46015MaRDI QIDQ2381112

Jesús Rodríguez-López, Salvador Romaguera

Publication date: 25 September 2007

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1161350696

zbMATH Keywords

closednessisometric isomorphismbounded convex subsetquasi-metric cone

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Hyperspaces in general topology (54B20)

Related Items (4)

A characterization of completeness via absolutely convergent series and the Weierstrass test in asymmetric normed semilinear spaces ⋮ Permutable pairs of quasi-uniformities ⋮ The Hausdorff fuzzy quasi-metric ⋮ Characterizations of metrizable topological vector spaces and their asymmetric generalizations in terms of fuzzy (quasi-)norms

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