A note on a characterization of metrics generated by norms

DOI10.1216/RMJ-2015-45-6-1801zbMath1332.39020OpenAlexW2301665630MaRDI QIDQ261649

Jacek Chmieliński

Publication date: 24 March 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1457960335

zbMATH Keywords

additive mappingsconvex mappingsmetrics generated by norms

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Geometry and structure of normed linear spaces (46B20) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (2)

Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ On functional equations related to additive mappings and isometries

Cites Work

• Unnamed Item
• A characterization of normed spaces among metric spaces
• A characterization of normed spaces
• A metric characterization of normed linear spaces

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