- Title
- Boundedness, differentiability and extensions of convex functions
- Creator
- Borwein, Jonathan; Montesinos, Vincente; Vanderwerff, Jon
- Relation
- Journal of Convex Analysis Vol. 13, Issue 3-4, p. 587 - 602
- Relation
- http://www.heldermann.de/JCA/JCA13/JCA133/jca13046.htm
- Publisher
- Heldermann Verlag
- Resource Type
- journal article
- Date
- 2006
- 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.
- Subject
- convex function; Schur property; Dunford-Pettis property; Grothendieck property; extensions
- Identifier
- http://hdl.handle.net/1959.13/926989
- Identifier
- uon:10009
- Identifier
- ISSN:0944-6532
- Language
- eng
- Reviewed
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