Balanced complex polytopes and related vector and matrix norms

被引：0
|
作者：
Guglielmi, Nicola
Zennaro, Marino
机构：
[1] Univ Aquila, Dipartimento Matemat, I-67100 Laquila, Italy
[2] Univ Trieste, Dipartimento Matemat & Informat, I-34100 Trieste, Italy
来源：
JOURNAL OF CONVEX ANALYSIS | 2007年 / 14卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study the notion of balanced complex polytope as a generalization of a symmetric real polytope to the complex space C-n. We pay particular attention to the geometric properties of such complex polytopes and of their counterparts in the adjoint form. In particular, we stress the differences occurring with respect to the well-known real case. We also introduce and discuss the related definitions of complex polytope norm and adjoint complex polytope norm.
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页码：729 / 766
页数：38
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