两个带有塑料单位球的巴拿赫空间的新例子

IF 0.3 Q4 MATHEMATICS Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-11-19 DOI:10.12697/acutm.2022.26.07

R. Haller, Nikita Leo, O. Zavarzina

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引用次数: 3

摘要

我们证明了具有严格凸X和Y的Banach空间(1⊕2r和X⊕∞Y)具有塑性单位球(如果从该空间到其自身的每个非膨胀双射都是等距，则我们称度量空间为塑性空间)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Two new examples of Banach spaces with a plastic unit ball

We prove that Banach spaces ℓ1 ⊕2 R and X ⊕∞ Y , with strictly convex X and Y , have plastic unit balls (we call a metric space plastic if every non-expansive bijection from this space onto itself is an isometry).

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