Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures

DOI10.1007/BF02755458zbMath0906.39012OpenAlexW2043096342MaRDI QIDQ1376586

Claudi Alsina, Piedad Guijarro, Maria S. Tomàs

Publication date: 14 February 1999

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137705

zbMATH Keywords

trianglenormed linear spaceinner product spacesbisectrixgeneralized height

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functional equations for functions with more general domains and/or ranges (39B52) General theory of functional equations and inequalities (39B05)

Related Items (6)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Generalizations of characterizations of inner product structures under differentiability conditions ⋮ Unnamed Item ⋮ On the Characterization of Hilbertian Norms by Properties of Heights of a Triangle ⋮ Altitude properties and characterizations of inner product spaces ⋮ The geometry of Minkowski spaces -- a survey. II.

Cites Work

• Characterizations of inner product spaces
• A characterization of inner product spaces based on a property of height's transformation
• A Characterization of Inner Product Spaces
• A characterization of inner product spaces
• Unnamed Item
• Unnamed Item

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