Every Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（1）
• 页码范围: 147-156
• 页数: 10页
• 语种: 英文

摘要

In this paper,we show that every infinite dimensional Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure.Therefore,it resolves a long-standing question.