Retractions and the bounded approximation property in Banach spaces

被引：0

作者：

Petr Hájek

Rubén Medina

机构：

[1] Czech Technical University in Prague,Faculty of Electrical Engineering, Department of Mathematics

[2] Universidad de Granada,Departamento de Análisis Matemático, Facultad de Ciencias

来源：

Mediterranean Journal of Mathematics | 2023年 / 20卷

关键词：

Lipschitz retractions; approximation properties; 46B20; 46B80; 54C55;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In the present paper, we prove that a necessary condition for a Banach space X to admit a generating compact Lipschitz retract K, which satisfies an additional mild assumption on its shape, is that X enjoys the Bounded Approximation Property. This is a partial solution to a question raised by Godefroy and Ozawa.

引用

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