Fusion框架算子扰动的若干性质
Some properties about the operator perturbation of fusion frames

针对Hilbert空间中fusion框架的算子扰动情况进行研究. 如果{(Wj，vj)}j∈J是H的fusion框架，有界线性算子T∈L(H)为满的且满足TWjWj (j∈J)，得到了{(TWj，vj)}j∈J也是H的fusion框架的结论. 通过对两个子空间间隙的概念得到了算子扰动的另外一个结果.
We are focus on the operator perturbations of fusion frames in Hilbert spaces. If {(Wj，vj)}j∈J is a fusion frame for H and T∈L(H) is a subjective operator with TWjWj (j∈J)，then we can get that {(TWj，vj)}j∈J is also a fusion frame for H. Moreover，we obtain a new result through some properties of two subspaces gap