Boundedness, differentiability and extensions of convex functions | NOVA. The University of Newcastle's Digital Repository

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/926989

Title: Boundedness, differentiability and extensions of convex functions
Author/Creator: Borwein, Jonathan; Montesinos, Vincente; Vanderwerff, Jon
Institution: The University of Newcastle. Faculty of Science & Information Technology, School of Mathematical and Physical Sciences
Description: 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.
Relation: Journal of Convex Analysis Vol. 13, Issue 3-4, p. 587 - 602
Relation: http://www.heldermann.de/JCA/JCA13/JCA133/jca13046.htm
Date: 2006
Publisher: Heldermann Verlag
Keyword(s): convex function; Schur property; Dunford-Pettis property; Grothendieck property; extensions
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/926989
Identifier: ISSN:0944-6532

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