Hilbert空间中g-Riesz框架的扰动性

The Stability of g-Riesz Frames in Hilbert Spaces

通过引入正交投影、两子空间的间隔等,改进了Hilbert空间中g-Riesz框架的扰动条件.利用泛函分析理论对g-Riesz框架的扰动性做了进一步探讨,得到了更好的扰动结果.

We improve the condition of the perturbation of g-Riesz frames in Hilbert spaces by using the theory of orthogonal projection and the gap between two subspaces,and a better bound for g-Riesz frames with theory in functional analysis is obtained.