Homogeneity of isosceles orthogonality and related inequalities

DOI10.1186/1029-242X-2011-84zbMath1275.46007OpenAlexW2124077352WikidataQ59268300 ScholiaQ59268300MaRDI QIDQ357679

Cuixia Hao, Senlin Wu

Publication date: 13 August 2013

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-84

zbMATH Keywords

Birkhoff orthogonalityhomogeneity of isosceles orthogonalityRoberts orthogonalityuniform non-squareness

Mathematics Subject Classification ID

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

Related Items (9)

Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces ⋮ Orthogonality Types in Normed Linear Spaces ⋮ An orthogonality type based on invariant inner products ⋮ Isometric reflection vectors and characterizations of Hilbert spaces ⋮ A remark on the homogeneity of isosceles orthogonality ⋮ Measurements of differences between orthogonality types ⋮ Unnamed Item ⋮ Orthogonality in Generalized Minkowski Spaces ⋮ Characterizations of inner product spaces involving homogeneity of isosceles orthogonality

Cites Work

• Some properties concerning Milman's moduli
• On the uniqueness of isosceles orthogonality in normed linear spaces
• Orthogonality in linear metric spaces
• 𝖫^{2}-summand vectors in Banach spaces
• Orthogonality in normed linear spaces
• Isometric reflections on Banach spaces after a paper of A. Skorik and A. Zaidenberg: ``On isometric reflections in Banach spaces.

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