On the Characterization of Hilbertian Norms by Properties of Heights of a Triangle

DOI10.2478/V10157-010-0023-7zbMATH Open1224.46023OpenAlexW2007210169MaRDI QIDQ2999408

I. Ionică

Publication date: 13 May 2011

Published in: Annals of the Alexandru Ioan Cuza University - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/v10157-010-0023-7

zbMATH Keywords

Birkhoff orthogonalitysmooth normed spaceheight of a triangleHilbertian norm

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15)

Cites Work

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• Characterizations of inner product spaces by geometrical properties of the heights in a triangle
• Some remarkable lines of triangles in real normed spaces and characterizations of inner product structures
• Inner products and norm derivatives
• Orthogonality in linear metric spaces
• Some Characterizations of Inner-Product Spaces
• Orthogonality in normed linear spaces

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