Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 13 (2006), No. 3, 587--602
Copyright Heldermann Verlag 2006

Boundedness, Differentiability and Extensions of Convex Functions

Jonathan Borwein
Faculty of Computer Science, Dalhousie University, Halifax, N.S., Canada B3H 1W5

Vicente Montesinos
Instituto de Matemática Pura y Aplicada, Universidad Politécnica, C/Vera s/n, 46022 Valencia, Spain

Jon D. Vanderwerff
Dept. of Mathematics, La Sierra University, Riverside, CA 92515, U.S.A.

We survey various boundedness, differentiability and extendibility properties of convex functions, and how they are related to sequential convergence with respect to various topologies in the dual space. It is also shown that if X/Y is separable then every continuous convex function on Y can be extended to a continuous convex function on X.

Keywords: Convex function, Schur property, Dunford-Pettis property, Grothendieck property, extensions.

MSC: 52A41; 46G05, 46N10, 49J50, 90C25

[ Fulltext-pdf  (419  KB)] for subscribers only.