Banach空间上Banach框架和原子分解的扰动

Generalized Perturbation Results of Banach Frames and Atomic Decompositions on Banach Spaces

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.