On the duality of the symmetric strong diameter 2 property in Lipschitz spaces

被引：5

作者：

Ostrak, Andre ^{[1
]}

机构：

[1] Tartu Ulikool, Matemaat & Stat Inst Tartu, Tartu, Estonia

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2021年 / 115卷 / 02期

关键词：

D O I：

10.1007/s13398-021-01018-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterise the weak* symmetric strong diameter 2 property in Lipschitz function spaces by a property of its predual, the Lipschitz-free space. We call this newproperty decomposable octahedrality and study its duality with the symmetric strong diameter 2 property in general. For a Banach space to be decomposably octahedral it is sufficient that its dual space has the weak* symmetric strong diameter 2 property. Whether it is also a necessary condition remains open.

引用

页数：10

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