紧空间作为cb-Helson集的实现
Realization of compact spaces as cb-Helson sets
摘要：
我们证明了，给定一个紧T2空间$Ω$，存在一个紧群${\mathbb G}$和$Ω$到${\mathbb G}$的同胚嵌入，使得限制映射${\rm A}({\mathbb G})\to C(Ω)$是算子空间的完全商映射.特别地，这表明存在包含无限cb-Helson子集的紧群，回答了在[Choi-Samei，Proc. AMS 2013; cf. http://arxiv.org/abs/1104.2953].来自同一篇论文的阴性结果也得到了改善。
英文摘要：
We show that, given a compact Hausdorff space $Ω$, there is a compact group ${\mathbb G}$ and a homeomorphic embedding of $Ω$ into ${\mathbb G}$, such that the restriction map ${\rm A}({\mathbb G})\to C(Ω)$ is a complete quotient map of operator spaces. In particular, this shows that there exist compact groups which contain infinite cb-Helson subsets, answering a question raised in [Choi--Samei, Proc. AMS 2013; cf. http://arxiv.org/abs/1104.2953]. A negative result from the same paper is also improved.
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。
