论文标题
连续操作员框架的扰动和稳定性在Hilbert $ c^{\ ast} $ - 模块
Perturbation and Stability of Continuous Operator Frames in Hilbert $C^{\ast}$-Modules
论文作者
论文摘要
近年来,框架理论具有巨大的革命。该理论已从希尔伯特的空间扩展到希尔伯特$ c^{\ ast} $ - 模块。在本文中,我们考虑连续操作员框架的稳定性和连续$ k $ - 操作器框架中的hilbert $ c^{\ ast} $ - 扰动下的模块,我们建立了一些属性
Frame Theory has a great revolution in recent years. This Theory have been extended from Hilbert spaces to Hilbert $C^{\ast}$-modules. In this paper we consider the stability of continuous operator frame and continuous $K$-operator frames in Hilbert $C^{\ast}$-Modules under perturbation and we establish some properties