论文标题
随机向量引起的复杂矩阵的规范
Norms on Complex Matrices Induced by Random Vectors
论文作者
论文摘要
我们在$ n \ times n $复杂矩阵上介绍了一个规范家庭。这些规范来自概率框架，它们的构建和验证涉及概率理论，分区组合和在非交通变量中的痕量多项式。结果，我们获得了亨特的阳性定理的概括，用于完全均匀的对称多项式。
We introduce a family of norms on the $n \times n$ complex matrices. These norms arise from a probabilistic framework, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in noncommuting variables. As a consequence, we obtain a generalization of Hunter's positivity theorem for the complete homogeneous symmetric polynomials.
