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Displaying similar documents to “A note on separation by linear mappings”

Delta-convex mappings between Banach spaces and applications

L. L. Veselý, L. Zajíček

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We investigate delta-convex mappings between normed linear spaces. They provide a generalization of functions which are representable as a difference of two convex functions (labelled as 5-convex or d.c. functions) and are considered in many articles. We show that delta-convex mappings have many good differentiability properties of convex functions and the class of them is very stable. For example, the class of locally delta-convex mappings is closed under superpositions and (in some...