A characterization of normed spaces

DOI10.1016/J.JMAA.2008.01.103zbMath1152.46009OpenAlexW2002830987MaRDI QIDQ924243

Peter Šemrl

Publication date: 15 May 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.01.103

zbMATH Keywords

real normed spacereal linear metric spacetranslation invariant metric

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Topological invariants ((DN), ((Omega)), etc.) for locally convex spaces (46A63)

Related Items (5)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ A characterization of normed spaces among metric spaces ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ A note on a characterization of metrics generated by norms

Cites Work

• Unnamed Item
• Sublinear functions on R
• A metric characterization of normed linear spaces
• Automorphisms of the Field of Complex Numbers

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