A CHARACTERISATION OF OCTAHEDRALITY IN LIPSCHITZ-FREE SPACES

被引：17

作者：

Prochazka, Antonin ^{[1
]}

Rueda Zoca, Abraham ^{[2
]}

机构：

[1] Univ Bourgogne Franche Comte, Lab Math UMR 6623, 16 Route Gray, F-25030 Besancon, France

[2] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

ANNALES DE L INSTITUT FOURIER | 2018年 / 68卷 / 02期

关键词：

Octahedrality; Free spaces; Uniformly discrete metric spaces;

D O I：

10.5802/aif.3171

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric property of the underlying metric space. We study the metric spaces with and without this property. Quite surprisingly, metric spaces without this property cannot be embedded isometrically into l(1) and similar Banach spaces.

引用

页码：569 / 588

页数：20

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