Template-Type: ReDIF-Paper 1.0
Series: Tinbergen Institute Discussion Papers
Creation-Date: 2001-08-13
Number: 01-075/1
Author-Name: J. Brinkhuis
Author-Email: brinkhuis@few.eur.nl
Author-Workplace-Name: Erasmus University Rotterdam
Author-Name: V. Tikhomirov
Author-Workplace-Name: Moscow State University
Title: On the Duality Theory of Convex Objects
Abstract: We consider the classical duality operators for convex objects suchas the polar of a convex set containing the origin, the dual norm,the Fenchel-transform of a convex function and the conjugate of aconvex cone. We give a new, sharper, unified treatment of the theoryof these operators, deriving generalized theorems of Hahn-Banach,Fenchel-Moreau and Dubovitsky-Milyutin for the conjugate of convexcones in not necessarily finite dimensional vector spaces and hencefor all the other duality operators of convex objects.
File-Url: https://papers.tinbergen.nl/01075.pdf
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Handle: RePEc:tin:wpaper:20010075