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Remarks on the operator norm localization property

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Donghua University, Shanghai, 201620, China

    Xianjin Wang

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  1. Xianjin Wang
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Correspondence to Xianjin Wang.

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Project supported 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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Wang, X. Remarks on the operator norm localization property. Chin. Ann. Math. Ser. B 32, 593–604 (2011). https://doi.org/10.1007/s11401-011-0655-2

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  • DOI: https://doi.org/10.1007/s11401-011-0655-2

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