Plasticity of the unit ball of a strictly convex Banach space

被引：13

作者：

Cascales, B. ^{[1
]}

Kadets, V. ^{[2
]}

Orihuela, J. ^{[1
]}

Wingler, E. J. ^{[3
]}

机构：

[1] Univ Murcia, Dept Matemat, E-30100 Murcia, Spain

[2] Kharkiv VN Karazin Natl Univ, Dept Math & Informat, UA-61022 Kharkov, Ukraine

[3] Youngstown State Univ, Dept Math & Stat, Youngstown, OH 44555 USA

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2016年 / 110卷 / 02期

关键词：

Non-expansive map; Unit ball; Plastic space; Strictly convex space;

D O I：

10.1007/s13398-015-0261-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a strictly convex Banach space, and let be its unit ball. Then every non-expansive bijection is an isometry.

引用

页码：723 / 727

页数：5

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