2001-08-13
On the Duality Theory of Convex Objects
Publication
Publication
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.
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hdl.handle.net/1765/6848 | |
Tinbergen Institute Discussion Paper Series , Econometric Institute Research Papers | |
Organisation | Erasmus School of Economics |
Brinkhuis, J., & Tikhomirov, V. (2001). On the Duality Theory of Convex Objects (No. EI 2001-15). Econometric Institute Research Papers. Retrieved from http://hdl.handle.net/1765/6848 |