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A characterization of inner product spaces based on a property of height's transformation

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Publication:1842030
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DOI10.1007/BF01196594zbMath0819.39011OpenAlexW1991829958MaRDI QIDQ1842030

Claudi Alsina, Piedad Guijarro, Maria S. Tomàs

Publication date: 18 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01196594


zbMATH Keywords

normed spacefunctional equationsinner product spaceadditive functionslinear independenceheight's transformation


Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Functional equations for functions with more general domains and/or ranges (39B52)


Related Items (2)

Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures ⋮ Generalizations of characterizations of inner product structures under differentiability conditions



Cites Work

  • Characterizations of inner product spaces
  • Unnamed Item




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