初等完全压缩的点态逼近
Pointwise approximation by elementary complete contractions
摘要：
保持所有闭双边理想J的C* 代数A上的完全压缩能用初等完全压缩逐点逼近当且仅当B与A/J的张量积上的诱导映射对每个C* 代数B、A中的理想J和张量积上的C*-张量范数是压缩的。也得到了这种近似的提升障碍。
英文摘要：
A complete contraction on a C*-algebra A, which preserves all closed two sided ideals J, can be approximated pointwise by elementary complete contractions if and only if the induced map on the tensor product of B with A/J is contractive for every C*-algebra B, ideal J in A and C*-tensor norm on the tensor product. A lifting obstruction for such an approximation is also obtained.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
