框架扰动是框架理论中活跃的研究方向, 但它的多数研究是在Hilbert空间上进行的. 该文讨论Banach空间上Banach框架和原子分解的扰动, 得到一些新的结果, 并表明众多已知结果是这些新结果的特例.
Frame perturbation is one of active research contents in frame theory, but it was discussed on a Hilbert space in most literatures. This paper presents the perturbations of Banaeh frames and atomic decompositions on a Banach space, and obtains some more generalized perturbation results. It is shown that many known results are corollaries of our results.