Characterizations of l∞n and l1n and their stabilities

被引：2
|
作者：
Martini, Horst [1 ]
Wu, Senlin [2 ]
机构：
[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 419卷 / 02期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Banach-Mazur distance; Birkhoff orthogonality; Hadwiger's covering problem; Isosceles orthogonality; Manhattan norm; Maximum norm; CONVEX-BODIES;
D O I：
10.1016/j.jmaa.2014.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize l(infinity)(n) and l(1)(n) by introducing two geometric constants in n-dimensional Banach spaces. We also prove that these characterizations are stable with respect to the Banach-Mazur distance. (C) 2014 Elsevier Inc. All rights reserved.
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页码：688 / 702
页数：15
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