An orthogonality in normed linear spaces based on angular distance inequality

DOI10.1007/s00010-014-0333-zzbMath1381.46013OpenAlexW2163103646MaRDI QIDQ284688

F. Blanchet-Sadri, M. Dambrine

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00010-014-0333-z

zbMATH Keywords

norm inequalityorthogonalityangular distancecharacterization of inner product spaces

Mathematics Subject Classification ID

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

Related Items (7)

Homogeneity of isosceles orthogonality, transitivity of the norm, and characterizations of inner product spaces ⋮ Approximate Roberts orthogonality sets and \({(\delta, \epsilon)}\)-\((\mathrm {a, b})\)-isosceles-orthogonality preserving mappings ⋮ Orthogonality Types in Normed Linear Spaces ⋮ On Exact and Approximate Orthogonalities Based on Norm Derivatives ⋮ Singer-type orthogonalities ⋮ \(p\)-angular distance orthogonality ⋮ Characterizations of inner product spaces involving homogeneity of isosceles orthogonality

Cites Work

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• Characterizations of inner product spaces
• Approximate Roberts orthogonality
• Angles in Normed Linear Spaces and a Characterization of Real Inner Product Spaces
• On two classes of Banach spaces with uniform normal structure
• A Remark on the Singer-Orthogonality in Normed Linear Spaces

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