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Brinkhuis, J.
Tikhomirov, V.
Year of Publication: 
Series/Report no.: 
Tinbergen Institute Discussion Paper 01-075/1
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.
Document Type: 
Working Paper

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