K-g-框架的等价刻画和K 框架交织的擦除

论Hilbert空间K g 框架的等价刻画和K 框架交织的擦除。用g Bessel序列{Λj: j∈J}的导出序列{vjkπWjkΛj}j∈J,k∈Kj来等价刻画{Λj: j∈J}成为K g 框架。给出了一个充分条件，在一对可K 交织的K 框架的基础上，使得擦除若干元素后剩下的元素仍然可K 交织。

quivalent Characterizations of K g frames andErasures of Weaving of K frames

In this paper we mainly discuss the equivalent characterizations of K g frames and erasures of weaving of K frames.In details,we use the induced sequence {vjkπWjkΛj}j∈J,k∈Kj of a g Bessel sequence {Λj:j∈J} to equivalently characterize {Λj:j∈J} to be a K g frame.We also give a sufficient condition for the remainder after deleting some elements from a K woven pair to be still K woven.