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：
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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.
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