One of the most important problems in the studying of frames and its extensions is the invariance of these systems under perturbation. In this paper, we first give a result concerning perturbations of K–g-frames and then use it to construct K–g-frames in Hilbert spaces. We also characterize the concept of K–g-frames by quotient maps.

中文翻译：

---

关于 Hilbert 空间中 K-g 框架的构造

研究框架及其扩展中最重要的问题之一是这些系统在扰动下的不变性。在本文中，我们首先给出关于K - g帧扰动的结果，然后用它来构造希尔伯特空间中的K - g帧。我们还通过商映射来表征K - g帧的概念。