In this paper, we extend the notion of orthogonality to the general elements of an absolute matrix order unit space and relate it to the orthogonality among positive elements. We introduce the notion of a partial isometry in an absolute matrix order unit space. As an application, we describe the comparison of order projections. We also discuss finiteness of order projections.

中文翻译：

---

绝对阶单位空间中的部分等距

在本文中，我们将正交性的概念扩展到绝对矩阵阶单位空间的一般元素，并将其与正元素之间的正交性联系起来。我们在绝对矩​​阵阶单位空间中引入了部分等距的概念。作为一个应用程序，我们描述了顺序投影的比较。我们还讨论了阶投影的有限性。