Duality on Convex Sets in Generalized Regions

DOI10.1007/978-1-4614-6406-8_13zbMath1268.26021OpenAlexW18510725MaRDI QIDQ4928676

Boaz A. Slomka, Alexander Segal

Publication date: 17 June 2013

Published in: Asymptotic Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-6406-8_13

zbMATH Keywords

order isomorphismfractional linear transformationsduality of convex bodies

Mathematics Subject Classification ID

Lattices and duality (06D50) Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (3)

Fixed points of polarity type operators ⋮ A zoo of dualities ⋮ Dimension-raising homomorphisms between lattices of convex bodies

Cites Work

• Extremal structure of convex sets
• 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
• Synthetic projective geometry and Poincaré's theorem on automorphisms of the ball
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Convex Polytopes
• Order Isomorphisms on Convex Functions in Windows

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