K-fusion框架的若干研究

Several Studies of K-fusion Frame

刻画了与K-fusion框架有关的算子K的值域的包含与K-fusion框架包含的相互关系,同时给出了K-fusion框架的一个等价刻画.通过一个例子讨论说明在K-fusion框架的基础上删除一些元素后可能不再是K-fusion框架,同时给出了从K-fusion框架中删除一些元素后还构成K-fusion框架的两个充分条件.

We characterize the relation of inclusion between the ranges of bounded linear operator K and the K-fusion frames, we also give an equivalent characterization for K-fusion frame. In the end, we use an example to illustrate that the remainder obtained by dele- ting some elements from a K-fusion frame may not be a K-fusion frame,at the same time we give two sufficient conditions for the re- mainder to be a K-fusion frame.