On characterization of Euclidean spaces

DOI10.1016/j.amc.2006.08.112zbMath1121.52010OpenAlexW2037923476MaRDI QIDQ884103

Ji Gao

Publication date: 13 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.112

zbMATH Keywords

norminner productEuclidean planeconvex setMinkowski planenormal polygonside-medians

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)

Cites Work

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• The Hausdorff metric and Cebysev centres
• An Application of Elementary Geometry in Functional Analysis
• Convex Sets and Polygons
• Perturbations of Discontinuous Solutions of Non-Linear Systems of Differential Equations