论文标题
有效的非交通性Nevanlinna-Pick插值在行球中，并应用
Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
论文作者
论文摘要
我们提供了一个有效的单音矩阵标准，就我们所谓的基本选拔矩阵而言，用于在行球中的非交换性nevanlinna-pick插值问题，并提供了一些应用。特别是，我们表明，与类似的交换案例形成鲜明对比的是，所谓的“柱线特性”失败了。基本挑选矩阵的其他应用包括用于基质行收缩的局部扩张定理和非共同设置中的插值序列。最后，我们提出了一些与列行属性失败有关的数值结果。
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation problem in the row ball, and provide some applications. In particular we show that the so-called "column-row property" fails for the free semigroup algebras, in stark contrast to the analogous commutative case. Additional applications of the elementary Pick matrix include a local dilation theorem for matrix row contractions and interpolating sequences in the noncommutative setting. Finally we present some numerical results related to the failure of the column-row property.
