A new duality transform

DOI10.1016/j.crma.2008.09.031zbMath1171.26007OpenAlexW2024950899MaRDI QIDQ957553

Shiri Artstein-Avidan, Vitali D. Milman

Publication date: 28 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.09.031

zbMATH Keywords

dualityconvex functionconvex bodyorder preserving involutionorder reversing involution

Mathematics Subject Classification ID

Duality theory for topological vector spaces (46A20) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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A zoo of dualities ⋮ A characterization of the star duality mapping ⋮ Dualities and endomorphisms of pseudo-cones

Cites Work

• The concept of duality for measure projections of convex bodies
• The endomorphisms of the lattice of closed convex cones
• A characterization of the duality mapping for convex bodies
• The endomorphisms of the lattice of norms in finite dimensions
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• The Santaló point of a function, and a functional form of the Santaló inequality