Examples of Convex Functions and Classiications of Normed Spaces
نویسندگان
چکیده
We study various properties of convex functions and their connections to the structure of the spaces on which they are deened. In particular, it is shown boundedness properties of convex functions on various bornologies are related to sequential convergence in dual topologies. Convex functions whose subdiierentials have range with nonconvex interior are constructed on nonreeexive spaces, and we exhibit examples of convex functions on innnite dimensional spaces whose subdiierentials have sparse domains.
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