Remarks on the Operator Norm Localization Property

• 作 者: Xianjin WANG
• 机 构: Department of Applied Mathematics
• 出 处: 数学年刊B辑（英文版）
• 发表日期: 2004年期
• 关键词: Metric space Asymptotic dimension Operator norm localization Coarse invariance R
• 基金项目: 国家自然科学基金;the Fundamental Research Funds for the Central Universities;the Shanghai Pujiang Program;the Shanghai Phosphor Science Foundation

The author studies the metric spaces with operator norm localization property. It is proved that the operator norm localization property is coarsely invariant and is preserved under certain infinite union. In the case of finitely generated groups, the operator norm localization property is also preserved under the direct limits.