On Abrams’ theorem
نویسنده
چکیده
Abrams’ theorem describes a necessary and sufficient condition for the closedness of a linear image of an arbitrary set. Closedness conditions of this type play an important role in the theory of duality in convex programming. In this paper we present generalizations of Abrams’ theorem, as well as Abrams-type theorems characterizing other properties (such as relatively openness or polyhedrality) of linear images of convex sets. Mathematics Subject Classifications (2000). 90C46, 90C25, 52A41.
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