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| Remarks on the Operator Norm Localization Property |
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Citation： |
Xianjin WANG.Remarks on the Operator Norm Localization Property[J].Chinese Annals of Mathematics B,2011,32(4):593~604 |
| Page view： 1849
Net amount： 1378 |
Authors： |
Xianjin WANG; |
Foundation： |
by the National Natural Science Foundation of China (No. 10901033), the Shanghai
Phosphor Science Foundation (No. 07SG38), the Shanghai Pujiang Program (No. 08PJ14006) and the
Fundamental Research Funds for the Central Universities. |
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| Abstract： |
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. |
Keywords： |
Metric space, Asymptotic dimension, Operator norm localization, Coarse
invariance, Roe algebra |
Classification： |
46L89, 54E35, 20F65 |
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