Hilbert C*-模中K-框架的一些性质

Some Properties of K-frames in Hilbert C*-modules

本文将Hilbert空间中K-框架的概念推广到Hilbert C*-模中,得到了Hilbert C*-模中K-框架的几个等价刻画.另外给出条件使得Hilbert C*-模中的K-框架去掉某个元素后的剩余集仍是K-框架.

In this paper, we generalize the concept of K-frames from Hilbert spaces to Hilbert C＊-modules. We present several equivalent characterizations of K-frames in Hilbert C＊- modules and we also study conditions under which the removal of an element from a K-frame in Hilbert C＊-modules leaves again a K-frame.