Boundedness, differentiability and extensions of convex functions

被引：0

作者：

Borwein, Jonathan ^{[1
]}

Montesinos, Vicente

Vanderwerff, Jon

机构：

[1] Dalhousie Univ, Fac Comp Sci, Halifax, NS B3H 1W5, Canada

[2] Univ Politecn Valencia, Inst Matemat Pura & Aplicada, Valencia 46022, Spain

[3] La Sierra Univ, Dept Math, Riverside, CA USA

来源：

JOURNAL OF CONVEX ANALYSIS | 2006年 / 13卷 / 3-4期

关键词：

convex function; Schur property; Dunford-Pettis property; Grothendieck property; extensions;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：587 / 602

页数：16

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