论文标题
模块化Paulsen问题和模块化投影问题
Modular Paulsen Problem and Modular Projection Problem
论文作者
论文摘要
基于\ textbf {paulsen问题}的解决方案}由Kwok，Lau，Lee和Ramachandran [\ textit {stoc'18-Proceedings of Computing of Computing of Computing}的第50届年度ACM Sigact sigact座谈会，2018年}]，以及Hamilton和Moitra和Moitra [\ textit {IS r。 J. Math。，2021}]我们在Hilbert C*-Modules的背景下研究Paulsen问题和投影问题。我们表明，对于交换性C* - 代数，如果模块化Paulsen问题具有解决方案，则模块投影问题也具有解决方案。我们为c* - 代数上的矩阵制定了操作员缩放的问题。
Based on the solution of \textbf{Paulsen Problem} by Kwok, Lau, Lee, and Ramachandran [\textit{STOC'18-Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing, 2018}] and independently by Hamilton, and Moitra [\textit{Isr. J. Math., 2021}] we study Paulsen Problem and Projection Problem in the context of Hilbert C*-modules. We show that for commutative C*-algebras, if Modular Paulsen Problem has a solution, then Modular Projection Problem also has a solution. We formulate the problem of operator scaling for matrices over C*-algebras.
