Non-Commutative Fejér Theorems
Non-Commutative Fejér Theorems
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DOI：
10.1007/s00020-012-2005-5
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发表时间：
2012-10
影响因子：
0.8
通讯作者：
Xiaoman Chen;Benyin Fu
中科院分区：
文献类型：
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作者：
Xiaoman Chen;Benyin Fu
本文证明了在一致Roe代数中存在不能用自身的截断来逼近的算子，其中G是一个G生成群.我们还给出了算子可以用自身的截断来逼近的一个充分条件。对于可数离散度量空间X，得到了类似的结论.
In this paper we prove that there are operators in the uniform Roe algebrawhich cannot be approximated by the truncations of themselves, whereGis a finitely generated group. We also give a sufficient condition for the operators which can be approximated by the truncations of themselves. For a countable discrete metric spaceX, we obtain the similar conclusions.