论文标题
增生矩阵的进一步特性
Further Properties of Accretive Matrices
论文作者
论文摘要
为了更好地理解所有$ n \ times n $复杂矩阵的代数$ \ MATHCAL {M} _n $，我们探索了积分矩阵的类。由于近年来，该班级因其在积极的确定矩阵而闻名的结果中的作用而受到了著名的关注。更确切地说，我们有几个结果可以更好地了解积聚矩阵。在许多结果中，我们提出了预订单的结果，Choi-Davis型不平等，均值凸率不平等，实际部分的次级式结果以及增生矩阵绝对价值的新界限。这些结果将与现有文献进行比较。最后，我们迅速通过相关的熵结果来获得增生矩阵。
To better understand the algebra $\mathcal{M}_n$ of all $n\times n$ complex matrices, we explore the class of accretive matrices. This class has received renowned attention in recent years due to its role in complementing those results known for positive definite matrices. More precisely, we have several results that allow a better understanding of accretive matrices. Among many results, we present order-preserving results, Choi-Davis-type inequalities, mean-convex inequalities, sub-multiplicative results for the real part, and new bounds of the absolute value of accretive matrices. These results will be compared with the existing literature. In the end, we quickly pass through related entropy results for accretive matrices.
