Measurements of differences between orthogonality types

DOI10.1016/j.jmaa.2012.07.059zbMath1262.46012OpenAlexW1993229454MaRDI QIDQ713460

Pier Luigi Papini, Senlin Wu

Publication date: 29 October 2012

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.07.059

zbMATH Keywords

isosceles orthogonalityBirkhoff orthogonalityRoberts orthogonalityJames orthogonality

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (11)

Minkowski Geometry—Some Concepts and Recent Developments ⋮ Orthogonality Types in Normed Linear Spaces ⋮ A new upper bound of geometric constant \(D(X)\) ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The von Neumann-Jordan and another constants in Radon planes ⋮ The James constant in Radon planes ⋮ Optimal constants in normed planes

Cites Work

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• Homogeneity of isosceles orthogonality and related inequalities
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• Quantitative characterization of the difference between Birkhoff orthogonality and isosceles orthogonality
• Nonstandard methods in fixed point theory
• On the uniqueness of isosceles orthogonality in normed linear spaces
• Orthogonality in normed linear spaces
• The geometry of Minkowski spaces -- a survey. I

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