In this paper, we show that every super weakly compact convex subset of a Banach space is an absolute uniform retract, and that it also admits the uniform compact approximation property. These can be regarded as extensions of Lindenstrauss and Kalton’s corresponding results.

中文翻译：

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Banach空间的绝对一致收缩、一致逼近性质和超弱紧集

在本文中，我们证明了 Banach 空间的每个超弱紧凸子集都是绝对一致的收缩，并且它也承认一致紧逼近的性质。这些可以看作是 Lindenstrauss 和 Kalton 相应结果的扩展。