A result of fundamental importance has been proved with regard to the matrix representation of symmetrizing operator on tensor space.

本文证明了关于张量空间的对称化算子的矩阵表示的一个重要结论。

Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.

引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。