The similarity degree of an operator algebra, II
The similarity degree of an operator algebra, II
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DOI：
10.1007/s002090050503
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发表时间：
1997-06
影响因子：
0.8
通讯作者：
G. Pisier
中科院分区：
文献类型：
--
作者：
G. Pisier
对于每一个整数，都存在一个相似度精确等于tod的一元闭子代数。这意味着对于任何单位同态，我们都不依赖于u，并且这个估计中的指数不能改进。由于Haagerup和Thorbjørnsen给出了一些高斯随机矩阵的范数的上界，这证明了度大于的重要性。我们还包括一些对我们以前关于同一主题的出版物的补充。
For every integer, there is a unital closed subalgebrawith similarity degree equal precisely tod, in the sense of our previous paper. This means that for any unital homomorphismwe havewithindependent ofu, and the exponentdin this estimate cannot be improved. The proof that the degree is larger thancrucially uses an upper bound for the norms of certain Gaussian random matrices due to Haagerup and Thorbjørnsen. We also include several complements to our previous publications on the same subject.