论文标题
$ \ mathcal {b}(h)$的积分$ k $ - 操作器框架
Integral $K$-Operator Frames for $\mathcal{B}(H)$
论文作者
论文摘要
在本文中,我们将介绍一个新的概念,即所有有界线性运算符集合的$ k $ integral运算符框架,指出$ \ nathcal {b}(h)$,其中$ h $是可分开的希尔伯特空间。另外,我们证明了积分$ k $ - 操作员框架的一些结果。最后,我们将建立一些用于$ \ MATHCAL {B}(h)$的积分$ k $ operator框架的扰动和稳定性的新属性
In this paper, we will introduce a new notion, that of $K$-Integral operator frames in the set of all bounded linear operators noted $\mathcal{B}(H)$, where $H$ is a separable Hilbert space. Also, we prove some results of integral $K$-operator frame. Lastly we will establish some new properties for the perturbation and stability for an integral $K$-operator frames for $\mathcal{B}(H)$