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A characterization of normed spaces among metric spaces

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Publication:627388
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DOI10.1216/RMJ-2011-41-1-293zbMath1254.46025MaRDI QIDQ627388

Peter Šemrl

Publication date: 1 March 2011

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


zbMATH Keywords

normed spacemetric space


Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Metric spaces, metrizability (54E35)


Related Items (5)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ Weighted Mazur-Ulam spaces ⋮ On functional equations related to additive mappings and isometries ⋮ A note on a characterization of metrics generated by norms




Cites Work

  • A characterization of normed spaces
  • A metric characterization of normed linear spaces




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