正性除环上的部分等距矩阵

The Partial Isometry Matrices over the Division Ring with the Positive Property

本文给出了正性除环上部分等距矩阵的一些等价叙述,确定了实四元数除环上矩阵空间的保部分等距矩阵的线性算子的结构。

In this paper we gave some equivalent statements on the partial isometry matrices over the divi- sion ring with the positive property,determine the structure of linear preserving operators of all matrix space over real quaternion division ring on patial isometry matrices.