Characterization of different classes of convex bodies via orthogonality

zbMath1246.52001MaRDI QIDQ657683

Javier Alonso, Margarita Spirova

Publication date: 10 January 2012

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1320763132

zbMATH Keywords

normed spacesMinkowski geometrycentrally symmetric convex bodiesaffine diameterconvex bodies of constant widthaffine orthogonalityfinite-dimensional Banach spacesnormal to a convex body

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in (2) dimensions (including convex curves) (52A10) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (2)

Orthogonality Types in Normed Linear Spaces ⋮ Complete sets in normed linear spaces

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