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...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.展开更多
基金Project supported by the National Natural Science Foundation of China (No. 10901033)the Shanghai Phosphor Science Foundation (No. 07SG38)+1 种基金the Shanghai Pujiang Program (No. 08PJ14006)the Fundamental Research Funds for the Central Universities
文摘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.
