On Absolute Uniform Retracts, Uniform Approximation Property and Super Weakly Compact Sets of Banach Spaces

• 作者: Li Xin CHENG Qing Jin CHENG Jian Jian WANG
• 来源期刊: 数学学报（英文版）
• 年，卷（期）: 2021,（5）
• 页码范围: 731-739
• 页数: 9页
• 语种: 英文

摘要

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.