Template-Type: ReDIF-Paper 1.0
Author-Name: Brinkhuis, J.
Author-Name-Last: Brinkhuis
Author-Name-First: Jan
Author-Name: Tikhomirov, V.
Author-Name-Last: Tikhomirov
Title: On the Duality Theory of Convex Objects
Abstract: We consider the classical duality operators for convex objects such as the polar of a convex set containing the origin, the dual norm, the Fenchel-transform of a convex function and the conjugate of a convex cone. We give a new, sharper, unified treatment of the theory of these operators, deriving generalized theorems of Hahn-Banach, Fenchel-Moreau and Dubovitsky-Milyutin for the conjugate of convex cones in not necessarily finite dimensional vector spaces and hence for all the other duality operators of convex objects.
Creation-Date: 2001-08-13
File-URL: https://repub.eur.nl/pub/6848/2001-0751.pdf
File-Format: application/pdf
Series: RePEc:ems:eureir
Number: EI 2001-15
Number: EI 2001-15
Classification-JEL: C69
Keywords: convex analysis, duality
Handle: RePEc:ems:eureir:6848