有限维Hilbert空间中框架和fusion框架的最大鲁棒度

Maximum robustness of frames and fusion frames in finite dimensional Hilbert spaces

根据框架的最大鲁棒度的定义,给出框架的最大鲁棒度的性质,并讨论经过一些矩阵扰动后框架最大鲁棒度的变化.对fusion框架的最大鲁棒度的上界进行估计,得到经过一些特殊扰动后fusion框架的最大鲁棒度的变化.

Based on the definition of the maximum robustness of frames,we give some characterizations about the maximum robustness of frames,and discuss the change of maximum robustness of frames under some matrix perturbation. We also estimate the upper bound of the maximum robustness of fusion frames,and discuss the change of maximum robustness of fusion frames under some special perturbation.