On Extensions of DC Functions and Convex Functions

被引：0

作者：

Vesely, Libor ^{[1
]}

Zajicek, Ludek ^{[2
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Charles Univ Prague, Fac Math & Phys, Prague 18675 8, Czech Republic

来源：

JOURNAL OF CONVEX ANALYSIS | 2010年 / 17卷 / 02期

关键词：

D.c; function; d.c; mapping; delta-convex mapping; convex function; extension; Banach space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems, concerning extendability of continuous convex functions from a closed subspace of a normed linear space, complement recent results of J. Borwein, V. Montesinos and J. Vanderwerff.

引用

页码：427 / 440

页数：14

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