Order Isomorphisms on Convex Functions in Windows

DOI10.1007/978-3-642-29849-3_4zbMath1266.26021arXiv1510.03632OpenAlexW1913003054MaRDI QIDQ4913011

Dan I. Florentin, Shiri Artstein-Avidan, Vitali D. Milman

Publication date: 3 April 2013

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.03632

zbMATH Keywords

convexity preserving mapsorder isomorphisms on some classes of convex functions

Mathematics Subject Classification ID

Convex functions and convex programs in convex geometry (52A41) Convexity of real functions of several variables, generalizations (26B25)

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A localization of the Artstein-Avidan-Milman theorem ⋮ A zoo of dualities ⋮ The fundamental theorems of affine and projective geometry revisited ⋮ Radial duality. I: Foundations ⋮ Order isomorphisms in cones and a characterization of duality for ellipsoids ⋮ A Santaló-type inequality for the 𝒥 transform ⋮ Unnamed Item ⋮ On order-preserving and order-reversing mappings defined on cones of convex functions ⋮ Duality on Convex Sets in Generalized Regions ⋮ Dualities and endomorphisms of pseudo-cones ⋮ Identifying Set Inclusion by Projective Positions and Mixed Volumes

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