Sums of slices in direct sums of Banach spaces

Proceedings of the Estonian Academy of Sciences

Eve Oja¹ 

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关键词: geometry of Banach spaces;    direct sums;    uniformly convex norm;    slices;    strong diameter 2 propertyReferences1;   

DOI  :  10.3176/proc.2014.1.03

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Motivated by recent studies on the strong diameter 2 property, we exhibit a simple reason why, in many direct sums of Banach spaces, the arithmetic mean of two slices may have diameter less than 2.

【 授权许可】

Unknown