Characterizations of l∞n and l1n and their stabilities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:419

Article

Martini, Horst¹  Wu, Senlin² 

[1] Tech Univ Chemnitz, Fac Math, D-09107 Chemnitz, Germany

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

关键词: Banach-Mazur distance;    Birkhoff orthogonality;    Hadwiger's covering problem;    Isosceles orthogonality;    Manhattan norm;    Maximum norm;   

DOI  :  10.1016/j.jmaa.2014.05.004

来源: Elsevier

【 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.

【 授权许可】

Free