Stability results for some classical convexity operations

被引：1
|
作者：
Artstein-Avidan, Shiri [1 ]
Milman, Vitali [1 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源：
ADVANCES IN GEOMETRY | 2013年 / 13卷 / 01期
关键词：
DUALITY; ENDOMORPHISMS;
D O I：
10.1515/advgeom-2012-0011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study stability and super-stability results, in isomorphic form, for several equations on transforms of convex functions and bodies. We show that additivity of mappings on convex functions is super-stable, and that for maps on closed convex sets which include 0 both additivity and order preservation are stable.
引用
收藏
页码：51 / 70
页数：20
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