Let P and Q be projections on a Hilbert $C^{*}$-module. This paper deals with the orthogonal complementarity of certain range closures associated with P and Q. Some necessary and sufficient conditions are derived under which (P, Q) is harmonious.

中文翻译：

---

希尔伯特 C* 模上和谐投影对的特征

设P和Q是 Hilbert 上的投影$C^{*}$-模块。本文处理与P和Q相关联的特定范围闭包的正交互补性。推导了( P , Q )和谐的一些充要条件。